A note on Hardy's inequalities with boundary singularities

DOI10.1016/j.na.2011.09.029zbMath1236.35026arXiv1009.3158OpenAlexW2031850691MaRDI QIDQ651163

Mouhamed Moustapha Fall

Publication date: 8 December 2011

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

Full work available at URL: https://arxiv.org/abs/1009.3158

zbMATH Keywords

extremalsHardy inequalityHardy-Poincaré inequalityHardy functionoptimal constantcone-like domainsHardy constantimproved Hardy inequality

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Applications of functional analysis in quantum physics (46N50) Variational methods for second-order elliptic equations (35J20)

Related Items

ON THE HARDY–POINCARÉ INEQUALITY WITH BOUNDARY SINGULARITIES, New estimates for the Hardy constants of multipolar Schrödinger operators, Weighted Hardy inequality with higher dimensional singularity on the boundary

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