Multiplicity results and bifurcation for nonlinear elliptic problems involving critical Sobolev exponents

DOI10.1016/0362-546X(94)90199-6zbMath0815.35026OpenAlexW2092667792MaRDI QIDQ4322192

Jiye Sang

Publication date: 27 June 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90199-6

zbMATH Keywords

critical Sobolev exponent

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Related Items (4)

Existence of solutions for thep-Laplacian with critical Sobolev exponent and convection ⋮ Remarks on a class of elliptic problems with critical exponents ⋮ Existence results and bifurcation for nonlocal fractional problems with critical Sobolev exponent ⋮ Multiplicity result for a class of elliptic equations with singular term

Cites Work

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• Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• Critical Sobolev exponent problem in \({\mathbb{R}{}}^ n(n{\geq{}}4)\) with Neumann boundary condition
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Bifurcation results for semilinear elliptic problems with critical exponent in 2
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity

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