Local mountain pass for a class of elliptic system

DOI10.1016/j.jmaa.2007.01.062zbMath1387.35191OpenAlexW2054939373MaRDI QIDQ2642103

Claudianor Oliveira Alves

Publication date: 20 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.062

zbMATH Keywords

positive solutionsvariational methodselliptic systems

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (20)

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Cites Work

• Multiplicity of positive solutions for a mixed boundary elliptic system
• On a class of nonlinear Schrödinger equations
• On the existence and shape of least energy solutions for some elliptic systems.
• On concentration of positive bound states of nonlinear Schrödinger equations
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• On existence and concentration behavior of ground state solutions for a class of problems with critical growth.
• Some remarks on a system of quasilinear elliptic equations
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)_a
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
• On Existence and Concentration of Solutions for a Class of Hamiltonian Systems in ℝ^N
• Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth

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