Multiple existence of solutions for a nonhomogeneous elliptic problem with critical exponent on \(\mathbb R^N\)

DOI10.1016/j.na.2005.09.024zbMath1387.35233OpenAlexW2068435695MaRDI QIDQ5920616

Angela Pistoia, Anna Maria Micheletti, Norimichi Hirano

Publication date: 14 August 2006

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.2005.09.024

zbMATH Keywords

semilinear elliptic problemsign changing solutionscritical Sobolev

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (6)

Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents ⋮ A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems ⋮ Ground state solutions and multiple solutions for nonhomogeneous Schrödinger equations with Berestycki–Lions type conditions ⋮ Positive radial symmetric solutions to an exterior elliptic Robin boundary-value problem and application ⋮ Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)

Cites Work

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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Existence of multiple positive solutions for a semilinear elliptic equation
• An inhomogeneous semilinear equation in entire space
• Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent
• On the superlinear Ambrosetti-Prodi problem
• Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\)

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