Uniqueness of weighted Sobolev spaces with weakly differentiable weights

DOI10.1016/j.jfa.2012.08.002zbMath1267.46054arXiv1110.2888OpenAlexW2162354706MaRDI QIDQ1762338

Jonas M. Tölle

Publication date: 23 November 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2888

zbMATH Keywords

weighted Sobolev spacesPoincaré inequality\(p\)-Laplace operatornonlinear degenerate parabolic equationdensity of smooth functionssmooth approximation\(H=W\)Meyers-Serrin theoremnonlinear Kolmogorov operatorweighted \(p\)-Laplacian evolution equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

On the \(p\)-Laplacian evolution equation in metric measure spaces ⋮ Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials ⋮ A strongly singular parabolic problem on an unbounded domain ⋮ A class of weighted Hardy inequalities and applications to evolution problems ⋮ Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations ⋮ A density property for fractional weighted Sobolev spaces ⋮ A class of weighted Hardy type inequalities in \(\mathbb{R}^N\) ⋮ A weighted Hardy inequality and nonexistence of positive solutions ⋮ Weighted Hardy’s inequalities and Kolmogorov-type operators ⋮ Local and non-local improved Hardy inequalities with weights ⋮ Multipolar Hardy inequalities in \(L^p\)-spaces

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