Existence and multiplicity of solutions for a class of elliptic problem with critical growth

DOI10.1007/s00605-017-1117-zzbMath1421.35142OpenAlexW2765555866MaRDI QIDQ667799

Luciano M. Barros, Claudianor Oliveira Alves

Publication date: 1 March 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1117-z

zbMATH Keywords

positive solutionsvariational methodscritical exponentssemilinear equation with Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (8)

Ground state solutions of nonlinear Schrödinger equations involving the fractional p-Laplacian and potential wells ⋮ Multiple solutions to multi-critical Schrödinger equations ⋮ Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation ⋮ Existence of solution for a class of variational inequality in whole \(\mathbb{R}^N\) with critical growth: the local mountain pass case ⋮ Existence of solution for a class of variational inequality in whole \(\mathbb{R}^N\) with critical growth ⋮ Unnamed Item ⋮ Multiple positive solutions for an elliptic problem involving a critical Sobolev exponent ⋮ Multiplicity of solutions for a class of upper critical Choquard equation with steep potential well

Cites Work

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• Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method

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