On minimization problems which approximate Hardy \(L^{p}\) inequality.

DOI10.1016/S0362-546X(03)00130-5zbMath1046.35023MaRDI QIDQ1406773

Arkady Poliakovsky

Publication date: 7 September 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

p-LaplacianHardy's inequalitysingular elliptic problem

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Maximal functions, Littlewood-Paley theory (42B25) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Uniqueness of positive solutions for singular problems involving the $p$-Laplacian

Cites Work

• Regularity for a more general class of quasilinear equations
• A strong maximum principle for some quasilinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• An improved Hardy-Sobolev inequality and its application
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On the best constant for Hardy’s inequality in $\mathbb {R}^n$
• A Picone's identity for the p-Laplacian and applications
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• ASYMPTOTIC BEHAVIOUR OF MINIMIZING SEQUENCES FOR HARDY'S INEQUALITY
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