The compactness and the concentration compactness via \(P\)-capacity

DOI10.1007/S10231-021-01098-2zbMath1476.28001arXiv1905.06921OpenAlexW3146831594MaRDI QIDQ2048658

Ujjal Das, T. V. Anoop

Publication date: 23 August 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06921

zbMATH Keywords

embedding of \({\mathcal{D}}^{1P}_0(\Omega )\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Contents, measures, outer measures, capacities (28A12) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of measures, convergence of measures (28A33) Variational methods for second-order elliptic equations (35J20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Admissible function spaces for weighted Sobolev inequalities ⋮ On the generalised Brézis-Nirenberg problem

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