On the Existence and Breaking Symmetry of the Ground State Solution of Hardy Sobolev Type Equations withWeighted p-LAPLACIAN

DOI10.1515/ANS-2012-0307zbMath1388.35071OpenAlexW2512718600MaRDI QIDQ4898268

Mousomi Bhakta

Publication date: 30 December 2012

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2012-0307

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Existence and multiplicity results for an elliptic problem involving cylindrical weights and a homogeneous term \(\mu \)

Cites Work

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• On a \(p\)-Laplace equation with multiple critical nonlinearities
• On a Sobolev-type inequality related to the weighted \(p\)-Laplace operator
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Existence and multiplicity results for a weighted \(p\)-Laplace equation involving Hardy potentials and critical nonlinearities
• Cylindrical symmetry of extremals of a Hardy-Sobolev inequality
• SYMMETRY BREAKING OF EXTREMAL FUNCTIONS FOR THE CAFFARELLI– KOHN–NIRENBERG INEQUALITIES
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• HARDY–SOBOLEV–MAZ'YA INEQUALITIES: SYMMETRY AND BREAKING SYMMETRY OF EXTREMAL FUNCTIONS

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