NontriviaL solutions of some nonlinear elliptic problems

DOI10.1080/03605309908821479zbMath0936.35068OpenAlexW2050986628MaRDI QIDQ4264572

Donato Passaseo, Monica Musso

Publication date: 5 October 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821479

zbMATH Keywords

semilinear elliptic equationsvariational methodsdegenerate equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70)

Cites Work

• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains
• Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• Multibump solutions for a class of nonlinear elliptic problems
• Multipeak solutions for a semilinear Neumann problem
• Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains
• Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
• A multiplicity result for a variational problem with lack of compactness
• A Note on an Equation with Critical Exponent
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Nonlinear elliptic problems approximating degenerate equations
• Some concentration phenomena in degenerate semilinear elliptic problems

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