Decomposition lemmas applied to Hardy-Sobolev-type inequalities

DOI10.1007/s11118-004-6318-0zbMath1142.35309OpenAlexW2516458758MaRDI QIDQ1775514

Fabrice Colin

Publication date: 3 May 2005

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-004-6318-0

zbMATH Keywords

unbounded domainscylindrical domainsdecomposition lemmasinequalities of Hardy-Sobolev type

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Existence result for a class of nonlinear elliptic systems on punctured unbounded domains

Cites Work

• Minimization problems related to generalized Hardy's inequalities.
• Minimax theorems
• Singular minimization problems
• On the best constant for Hardy’s inequality in $\mathbb {R}^n$
• Hardy's inequality in unbounded domains
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