Eigenvalue problems of nonhomogeneous semilinear elliptic equations in Esteban-Lions domains with holes

DOI10.1016/J.JMAA.2006.08.054zbMath1131.35051OpenAlexW2059886621MaRDI QIDQ879063

Tsing-San Hsu, Huei-li Lin

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.054

zbMATH Keywords

eigenvalue problemsnonhomogeneous semilinear elliptic equationEsteban-Lions domains

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60)

Cites Work

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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Dual variational methods in critical point theory and applications
• Nonlinear elliptic problems in strip-like domains: symmetry of positive vortex rings
• Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• Multiple solutions for semilinear elliptic equations in unbounded cylinder domains

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