On the existence and \(L^ p({\mathbb{R}}^ N)\) bifurcation for the semilinear elliptic equation

DOI10.1016/0022-247X(91)90074-AzbMath0727.35047OpenAlexW2061844087MaRDI QIDQ803397

Huan-Song Zhou, Xi-Ping Zhu, Yin-Bing Deng

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90074-a

zbMATH Keywords

semilinear elliptic equationnon-trivial solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)

Related Items (8)

On the existence of G-symmetric entire solutions for semilinear elliptic equations ⋮ On symmetric solutions of a singular elliptic equation with critical Sobolev--Hardy exponent ⋮ On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent ⋮ On \(G\)-symmetric solutions of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A CLASS OF CRITICAL KIRCHHOFF PROBLEM ON THE HYPERBOLIC SPACE ⋮ On symmetric solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical terms

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Positive solutions of some nonlinear elliptic problems in exterior domains
• On the existence of positive entire solutions of a semilinear elliptic equation
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Bifurcation for Dirichlet Problems Without Eigenvalues

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