Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities

DOI10.1007/s11854-012-0035-1zbMath1319.46028arXiv1106.4874OpenAlexW2171840108MaRDI QIDQ351308

Patrick J. Rabier

Publication date: 11 July 2013

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4874

zbMATH Keywords

Sobolev spaceCaffarelli-Kohn-Nirenberg inequalitydensity of smooth functionspower weightradially symmetric function

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

Stability analysis for a family of degenerate semilinear parabolic problems ⋮ Special embeddings of weighted Sobolev spaces with nontrivial power weights ⋮ Dirichlet form analysis of the Jacobi process ⋮ Embeddings of weighted Sobolev spaces and degenerate elliptic problems ⋮ Existence and regularity of positive solutions of a degenerate elliptic problem ⋮ Compact embedding results of Sobolev spaces and existence of positive solutions to quasilinear equations ⋮ A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation ⋮ Compact Sobolev embeddings and positive solutions to a quasilinear equation with mixed nonlinearities

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