Multiple positive and nodal solutions for semilinear elliptic problems with critical exponents

DOI10.1512/iumj.1995.44.2027zbMath0849.35030OpenAlexW2092195455MaRDI QIDQ4884469

Dao-Min Cao, Ezzat S. Noussair

Publication date: 14 July 1996

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1995.44.2027

zbMATH Keywords

critical exponentmultiplicity of solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

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Multiple positive and sign-changing solutions of an elliptic equation with fast increasing weight and critical growth ⋮ Concentrated solutions for a critical elliptic equation ⋮ Multiplicity result for a nonhomogeneous Yamabe type equation involving the Kohn Laplacian ⋮ Quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ Multiplicity of positive solutions for a Kirchhoff type problem without asymptotic conditions ⋮ Multiplicity of positive solutions for semilinear elliptic equations involving the critical sobolev exponents ⋮ Multiple positive solutions for critical elliptic problem with singularity ⋮ The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ Sign-changing solutions of nonlinear elliptic equations ⋮ Multiple positive and sign-changing solutions for a singular Schrödinger equation with critical growth ⋮ Quasilinear elliptic problems with critical exponents and Hardy terms ⋮ Existence and multiplicity of positive solutions for a critical weight elliptic system in ℝN

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