PUBLICATIONS of Raúl Manásevich T.
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Un Teorema de Disconjugacion para Ecuaciones Cuasidiferenciales.
Notas de Matemáticas. U. de los Andes. 6 (1976). (with
Tineo A.).
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On the First Conjugate Point of a Quasidifferential Equation of Order N.
Notas
de Matemáticas. U. de los Andes 7 (1976). (with Tineo A.).
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Oscillatory Properties of Solutions of a Class of Third Order Quasidifferential
Equations.
Journal of Mathematical Analysis and Applications 63
(1978) 23-32 (with Tineo A.).
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Asymptotic and Oscillatory Behaviour of Third Order Diff. Equations of
a Certain Type.
Journal of Mathematical Analysis and Applications
65 (1978) 607-615. (with Tineo A.).
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A Min Max Theorem.
Journal of Mathematical Analysis and Applications
90 (1982) 64-71.
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Un Difeomorfismo de Clase . Sigma 8 (1982) 1-8.
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A Non Variational Version of a Max Min Principle. Nonlinear Analysis
T.M.A. 7 (1983) 565-570.
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Periodic Solutions of a Coupled System of Telegraph-Wave equations.
Journal
of Mathematical Analysis and Applications 116 (1986) 10-21 (with Felmer
P.).
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The Characterization of Degenerate and Non Degenerate systems.
Rocky Mountain Journal of Mathematics 16 (1986) 203-214. (with
Hausrath A.).
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Periodic Solutions of Periodically Forced Weakly Coupled-Non Degenerate
Systems. Applicable Analysis 26 (1987) 1-21. (with Hausrath A.).
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Periodic Solutions of Periodically Harvested Lotka-Volterra Systems. Revista
Colombiana de Matemáticas. XXI (1987) 337-346. (with Hausrath
A.).
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Periodic Solutions of Periodically Forced Non-Degenerate Systems.
Rocky Mountain Journal of Mathematics 18 (1988) 2-17. (with
Hausrath A.).
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Existence of a Pair of Periodic Solutions of an O.D.E. Generalizing a Problem
in Nonlinear Elasticity, Via Variational Methods.
Journal of Mathematical
Analysis and Applications 123 (1988) 257-271. (with Gaete S.).
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Stability Properties of Periodic Solutions of Periodically Forced Non-Degenerate
Systems.
Rocky Mountain Journal of Mathematics 18
(1989) 785-799. (with Hausrath A.).
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Oscillation and Non-Oscillation for the Equation =0, p>1.
Houston
Journal of Mathematics 14 (1989) 173-177. (with Del Pino M.).
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Some Nonlinear Sturmian Theory for Lecture Notes in Pure and Applied
Mathematics. Differential Equations. Marcel Dekker, INC. Ed. by Dafermos,
Ladas and Papanicolaou. 1989 (with Del Pino M. and Elgueta M.).
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A Homotopic Deformation Along p of a Leray Schauder Degree Result
and Existence for Journal of Differential Equations. 80 (1989) 1-13.
(with Del Pino M. and Elgueta M.).
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Periodic Solutions of a Periodically Perturbed Lotka Volterra Equation
using the Poincare-Birkchoff Theorem. Journal of Mathematical Analysis
and Applications 157 (1991) 1-9. (with Hausrath A.).
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Generalizing a Hartman's Oscillation Result for =0, p>1.
Houston
Journal of Mathematics 17 (1991) 63-70. (with Del Pino M. and Elgueta
M.).
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Multiple Solutions for the p-Laplacian under Global Nonresonance.
Proceedings
American Mathematical Society 112 (1991) 131-138. (with Del Pino M.).
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Global Bifurcation from the Eigenvalues of the p-Laplacian.
Journal
of Differential Equations 92 (1991) 226-251. (with Del Pino M.).
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Existence for a Fourth Order Boundary Value Problem under a two-Parameter
Nonresonance Condition.
Proceedings American Mathematical Society
112 (1991) 81-86. (with Del Pino M.).
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On the Number of -periodic Solutions for
u''+g(u)=
s(1+h(t))
using the Poincaré-Birkhoff Theorem.
Journal of Differential
Equations 95 (1992) 240-258. (with Del Pino M. and Murua A.).
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Existence and Multiplicity of Solutions with Prescribed Period for a Second
Order Quasilinear O.D.E.
Nonlinear Analysis T.M.A. 18 (1992) 79-92.
(with Del Pino M. and Murua A.).
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Branching of T-Periodic Solutions for a Certain Class of Ordinary
Differential Equations Applicable Analysis 43 (1992) 147-162. (with
Hausrath A.).
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T-Periodic Solutions for Some Second Order D.E. with Singularities.
Proceedings
Royal Society of Edinburgh serie A. 120 A (1992) 231-243 (with Del
Pino M. and Montero A.).
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Existence and Uniqueness of Positive Solutions for Certain Quasilinear
Elliptic System. Communications in PDE. 17(11 & 12), 2013-2029(1992)
( with Felmer P. and De Thelin F.)
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Un résultat de bifurcation globale à partir de la premierè
valeur proper pour un système de p-Laplacian. C. R. Acad.
Sci. Paris t. 316, Série I, p.161-164, 1993. (with Fleckinger
J. and de Thelin F.)
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Infinitely many -periodic Solutions for a Problem arising in Nonlinear
Elasticity.
Journal of Differential Equations 103 (1993) 260-277.
(with Del Pino M.).
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Time-mappings and Multiplicity of Solutions for the one-dimensional
p-Laplacian.
(with Zanolin F.) Nonlinear Analysis T.M.A. 21 (1993) 269-291.
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Subharmonic Solutions for Some Second Order Differential Equations with
Singularities. (with Fonda A. and Zanolin F.)
SIAM Journal of Mathematical
Analysis 24 (1993) 1294-1311.
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Strongly Nonlinear Second Order ODE's with Unilateral Conditions. (with
Garcia-Huidobro M. and Zanolin F.) Differential and Integral Equations
6 (1993) 1057-1078.
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Jumping Nonlinearities for Fourth Order B.V.P. (with Garcia-Huidobro M.)
Annales
de la Faculte des Sciences de Toulouse. Vol II, 1 (1993) 53-72.
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Positive Solutions for a Quasilinear System via Blow Up. (with Clément
P. and Mitidieri E.) Communications in PDE. 18 (1993) 2071-2106.
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A Global Approach for Bifurcation from a Non-Degenerate Periodic Solution.
(with Felmer P.). Nonlinear Analysis T.M.A. 22 (1994) 353-361.
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Hölder inequality and periodic solutions of some planar polynomials
differential equations with periodic coefficients. (with Mawhin J. and
Zanolin F.) Inequalities and Applications, WSSIAA 3, World Scientific,
Singapore, 1994, 459-466.
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A Fredholm-like Result for Strongly Nonlinear Second Order ODE's. (with
Garcia-Huidobro M. and Zanolin F.) Journal of Differential
Equations. 114 (1994) 132-167.
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On a Pseudo Fucik Spectrum for Strongly Nonlinear Second Order ODE's and
an E xistence Result. (with Garcia-Huidobro M. and Zanolin F.) Journal
of Computational and Applied Mathematics 52 (1994) 219-239.
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Positive Solutions for the one-dimensional p-Laplacian. (with Njoku
F.I. and Zanolin F.) Differential and Integral Equations 8 (1995)
213-222.
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A Nonlinear BVP with Potential Oscillating Around the First Eigenvalue.
(with Habets P. and Zanolin F.)
Journal of Differential Equations
117 (1995) 428 - 445.
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Existence of positive regular solutions for some Dirichlet problems with
an asymptotically homogeneos operator. (with Garcia-Huidobro M. and Ubilla
P.) Electronic Journal of Differential Equations 10 (1995) 1-22.
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T-Periodic Solutions for a Second Order System with Singular Nonlinearity.
(with Del Pino M.) Differential and Integral Equations 8 (1995)
1873-1883.
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On a Modified Capillary Equation (with Clément P. and Mitidieri
E.) Journal of Differential Equations 124 (1996) 343-358.
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Periodic Solutions of complex-valued differential equations and systems
with periodic coefficients (with Mawhin J. and Zanolin F.) Journal of
Differential Equations 126 (1996) 355-373.
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Strongly nonlinear second-order ODE's with rapidly growing terms (with
Garcia-Huidobro M. and Zanolin F.) Journal of Mathematical Analysis
and Applications 202 (1996) 1-26.
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On principal eigenvalues of p-Laplacian like operators. (with Garcia-Huidobro
M. and Schmitt K.) Journal of Differential Equations
130(1996), 235-246.
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Boundary value problems for quasilinear second order differential equations.
(with Schmitt K.) Non linear analysis and boundary value problems for
ordinary differential equations CISM Courses and Lectures 371, International
centre for mechanical sciences, Italy (1996) 79-120
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Existence and Multiplicity of Solutions for a Fourth Order Equation. (with
Hernandez G.) Applicable Analysis. 54(1994), 237-250
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Global Bifurcation from the First Eigenvalue for a System of p-
Laplacians (with Fleckinger J. and de Thelin F.) Mathematische Nachrichten
182(1996), 217-242.
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Some bifurcation results for a class of p-Laplacian like operators. (with
Garcia-Huidobro M. and Schmitt K.)
Differential and Integral Equations
10(1997), 51-66.
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Infinitely many solutions for a Dirichlet problem with a non homogeneous
p-Laplacian like operator in a ball. (with Garcia-Huidobro M. and Zanolin
F) Advances in Differential Equations 2(1997), 203-230.
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Positive radial solutions of some nonlinear partial differential equations
(with Dang Hai and Schmitt Klaus)
Mathematische Nachrichten 186(1997),
101-113.
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p-Laplacian and Lienard-type equation. (with Sedziwy S.) Rocky
Mountain Journal of Mathematics. 27(1997) 611-617.
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Existence and Nonexistence of Positive Singular Solutions for a Class of
Semilinear Elliptic Systems (with García-Huidobro Marta, Mitidieri
Enzo and Yarur Cecilia)
Archive for Rational Mechanics and Analysis
140 (1997) 253-284.
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Principal eigenvalues for some quasilinear elliptic systems on (with Fleckinger
J., Stavrakakis N.M., and de Thélin F.) Advances in Differential
Equations 2 (1997) 981-1003.
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Some Existence and Non-existence Results for a Homogeneous Quasilinear
Problem (with Clément P. and Mitidieri E.) Asymptotic Analysis
17 (1998) 13-29.
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Periodic solutions for nonlinear systems with p-Laplacian like operators
(with Mawhin J.) Journal of Differential Equations 145 (1998) 367-393.
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On Positive Singular Solutions for a Class of Non Homogeneous p-Laplacian
like Equations (with García-Huidobro M. and Yarur C.) Journal
of Differential Equations 145 (1998) 23-51.
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Periodic solutions for some nonlinear systems with
p-Laplacian like
operators. (with Mawhin, J.) Proceedings of the IV Catalan Days of Applied
Mathematics, Tarragona (1998) 103-122.
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The Fredholm alternative at the first eigenvalue for the one dimensional
p-Laplacian
(with del Pino M. and Drabek P). C.R. Acad. Sci. Paris 327 (1998)
461-465.
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Positive radial solutions of nonlinear elliptic-like partial differential
equations on a ball. (with Garcia-Huidobro M. and Schmitt K.) Nonlinear
Analysis T.M.A. 35 (1999), 175-190.
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A noncooperative elliptic system with p-Laplacians systems that preserves
positivity. (with Sweers G.) Nonlinear Analysis T.M.A. 36 (1999),
511-528.
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Existence of positive radial solutions for a weakly coupled system via
blow up (with García-Huidobro M. and Guerra I.) Abstract and
Applied Analysis 3 (1998), 105-131.
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Periodic solutions of some Complex-valued Liénard and Rayleigh Equations
(with Mawhin J. and Zanolin F.) Nonlinear Analysis T.M.A. 36 (1999),
997-1014.
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Positive Solutions of Small Norm to a Quasilinear Elliptic Inclusion
Problem (with Clément P. and García-Huidobro M.) Advances
in Differential Equations 4 (1999), 71-114.
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The Fredholm alternative at the first eigenvalue for the one dimensional
p-Laplacian
(with del Pino M. and Drabek P.) Journal of Differential Equations
151 (1999) 386-419.
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On principal eigenvalues for quasilinear elliptic differential operators:
An Orlicz-Sobolev space setting (with García-Huidobro M., Le V.
K, and Schmitt K. ) Nonlinear Differential Equations and Applications
(NoDEA) 6 (1999) 207-225.
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Existence of Positive Singular Solutions for a Class of Quasilinear
Elliptic Equations (with García-Huidobro M. and Yarur C.) Journal
of Computational and Applied Mathematics. 113 (2000), N.1-2,
329—352.
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Ground states and free boundary value problems for the n-Laplacian
in n dimensional space (with García-Huidobro M. , Serrin
J., Tang M., and Yarur C.) Journal of Functional Analysis, 172, N.
1 (2000), 177--201.
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On the closed solution to some nonhomogeneous eigenvalue problems with
p-Laplacian
(with Drabek P.) Differential and Integral Equations. In press.
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Mountain Pass Type Solutions for Quasilinear Elliptic Equations (with
Clément Ph., García-Huidobro M., and Schmitt K.) Calculus
of Variations and Partial Differential Equations 11 (2000) 1, 33-62.
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The spectrum of p-Laplacian systems with various boundary conditions
and applications (with Mawhin, J.) Advances in Differential Equations 5
(2000) 1289-1318.
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The spectrum of p-Laplacian systems under Dirichlet, Neumann and periodic
boundary conditions (with Mawhin J.) Proceedings of the Seminar on Morse
Theory, Minimax Theory and Their Applications to Nonlinear Differential
Equations, Morningside Center of Mathematics (MCM), Chinese Academy of
Science and Peking University. International Press (Cambridge, USA). In
press
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Boundary value problems for nonlinear perturbations of vector p-Laplacian-like
operators (with Mawhin, J.) Journal of Korean Mathematical Society. In
press.
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Behavior of positive radial solutions for quasilinear elliptic equations
(with García-Huidobro M. and Yarur C.) Accepted in Proceedings American
Mathematical Society.
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Generic Fredholm alternative-type results for the one dimensional p-Laplacian
(with Drabek P.and Girg P.) Accepted in Nonlinear Differential Equations
and Applications (NoDEA)
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Existence of ground states for quasilinear nonhomogeneous elliptic
system (with García-Huidobro M.) Accepted in Journal of Mathematical
Analysis and Applications.
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Equations with a p-Laplacian and an asymmetric nonlinear term (with Fabry
C.) Submitted.
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Radial solutions for a quasilinear equation via Hardy inequalities (with
García-Huidobro M., Kufner A. and Yarur C.) Submitted.
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Solvability for a Non-linear Three-Point Boundary Value problem with p-Laplacian-Like
Operator at Resonance (with García-Huidobro M. and Gupta C.) Submitted.