The effect of the shape of the domain on the existence of solutions of an equation involving the critical Sobolev exponent

DOI10.1006/JDEQ.1996.0019zbMath0838.35042OpenAlexW2037474632MaRDI QIDQ1906172

Pablo Padilla

Publication date: 30 May 1996

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0019

zbMATH Keywords

multiplicitycritical Sobolev exponentexistence of solutions in topologically trivial domains

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

A variational inequality theory for demicontinuous \(S\)-contractive maps with applications to semilinear elliptic inequalities ⋮ Degenerate elliptic inequalities with critical growth ⋮ Positive weak solutions of semilinear second order elliptic inequalities via variational inequalities

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