On the nonlinear Neumann problem involving the critical Sobolev exponent on the boundary.

DOI10.1016/J.JMAA.2003.10.036zbMath1074.35038OpenAlexW1966652784MaRDI QIDQ1428248

J. H. Chabrowski

Publication date: 14 March 2004

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.2003.10.036

zbMATH Keywords

critical Sobolev exponentNeumann problemleast energy solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

On critical nonlinear boundary problems for p-harmonic functions on Riemannian manifolds ⋮ On a weighted trace embedding and applications to critical boundary problems^† ⋮ Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions

Cites Work

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• Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
• Sharp Sobolev inequalities with interior norms
• Characterization of concentration points and \(L^ \infty\)-estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent
• Least energy solutions of a critical Neumann problem with a weight.
• Variational methods for indefinite superlinear homogeneous elliptic problems
• Dual variational methods in critical point theory and applications
• Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
• Geometry and topology of the boundary in the critical Neumann problem.

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