COMPACTNESS AND EXISTENCE RESULTS FOR DEGENERATE CRITICAL ELLIPTIC EQUATIONS

DOI10.1142/S0219199705001623zbMath1086.35057arXivmath/0306363OpenAlexW2054320279MaRDI QIDQ4675923

Matthias Schneider, Veronica Felli

Publication date: 6 May 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306363

zbMATH Keywords

critical exponentnonlinear elliptic equationLeray-Schauder degreeblow-up analysisCaffarelli-Kohn-Nirenberg inequalitysingular potential

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items (8)

Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities ⋮ On the elliptic problems with critical weighted Sobolev-Hardy exponents ⋮ Existence and nonexistence of nontrivial solutions for degenerate elliptic equations in a solid torus ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Critical growth problems with singular nonlinearities on Carnot groups ⋮ Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators ⋮ Local behavior of solutions to subelliptic problems with Hardy potential on Carnot groups ⋮ MULTI-BUBBLE SOLUTIONS FOR EQUATIONS OF CAFFARELLI–KOHN–NIRENBERG TYPE

Cites Work

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• Prescribed scalar curvature on the \(n\)-sphere
• Variational perturbative methods and bifurcation of bound states from the essential spectrum
• Harnack's Inequality for Degenerate Schrodinger Operators
• Bifurcation results for semilinear elliptic problems in R^N
• Positive bound states having prescribed symmetry for a class of nonlinear elliptic equations in \(\mathbb{R}^N\)

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