Study of multiplicity and uniqueness of solutions for a class of nonhomogeneous sublinear elliptic equations

DOI10.1016/j.na.2010.12.022zbMath1210.35088OpenAlexW1972765969MaRDI QIDQ631746

Mohamed Benrhouma

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.12.022

zbMATH Keywords

concentration-compactness principlemountain-pass theoremsublinear elliptic equationcontinuity solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Continuation and prolongation of solutions to PDEs (35B60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions ⋮ Existence of solutions for a nonhomogeneous sublinear fractional Schrödinger equation ⋮ Results on the existence and multiplicity of solutions for a class of sublinear degenerate Schrödinger equations in \(\mathbb{R}^N\) ⋮ Multiple solutions for perturbed semilinear Schrödinger equations ⋮ INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRÖDINGER EQUATIONS ⋮ Existence and multiplicity of solutions for sublinear Schrödinger equations with coercive potentials ⋮ Bound state solutions of sublinear Schrödinger equations with lack of compactness ⋮ Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials ⋮ Infinitely many solutions for a resonant sublinear Schrödinger equation

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