Construction of sign-changing solutions for a harmonic equation with subcritical exponent

DOI10.1007/S00605-015-0797-5zbMath1347.35098OpenAlexW2119409757MaRDI QIDQ303844

Kamal Ould Bouh

Publication date: 22 August 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0797-5

zbMATH Keywords

variational problemcritical exponentcritical pointsmean curvatureharmonic equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Blow-up in context of PDEs (35B44)

Cites Work

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• Blowing up of sign-changing solutions to a subcritical problem
• The prescribed boundary mean curvature problem on \(\mathbb B^4\)
• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• Nonexistence results of sign-changing solutions to a supercritical nonlinear problem
• Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• A perturbation result for prescribing mean curvature
• The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Conformal metrics with prescribed mean curvature on the boundary
• Conformal metrics on the ball with zero scalar curvature and prescribed mean curvature on the boundary
• Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere
• A Morse theoretical approach for the boundary mean curvature problem on \(\mathbb B^4\)
• Nonexistence Results of Sign-changing solutions for a Supercritical Problem of the Scalar Curvature Type

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