Multiple solutions of Neumann elliptic problems with critical nonlinearity

DOI10.3934/DCDS.1999.5.301zbMath0952.35057OpenAlexW2090415970MaRDI QIDQ1576824

Donato Passaseo, Monica Musso

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.1999.5.301

zbMATH Keywords

positive solutionsNeumann boundary conditionscritical Sobolev exponentnonlinear elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Solutions to a nonlinear Neumann problem in three-dimensional exterior domains

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