Symmetry of positive solutions of an almost-critical problem in an annulus

DOI10.1007/s00526-004-0292-7zbMath1147.35320OpenAlexW2069482058MaRDI QIDQ1776809

Daniele Castorina, Filomena Pacella

Publication date: 12 May 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-004-0292-7

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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Variational methods for second-order elliptic equations (35J20)

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Blow-up and symmetry of sign-changing solutions to some critical elliptic equations, On the location of two blowup points on an annulus for the mean field equation, Classification of low energy sign-changing solutions of an almost critical problem, Symmetric and asymmetric solutions of \(p\)-Laplace elliptic equations in hollow domains, Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains, Multiple positive solutions of the Emden-Fowler equation in hollow thin symmetric domains, Symmetry of solutions to semilinear elliptic equations via Morse index

Cites Work

• Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
• Blow-up points of solutions to elliptic equations with limiting nonlinearity
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• Symmetry results for solutions of semilinear elliptic equations with convex nonlinearities
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Morse index and blow-up points of solutions of some nonlinear problems
• A multiplicity result for a variational problem with lack of compactness
• ON THE SHAPE OF THE SOLUTIONS OF SOME SEMILINEAR ELLIPTIC PROBLEMS
• Strict convexity of level sets of solutions of some nonlinear elliptic equations