On the equivalence between \(p\)-Poincaré inequalities and \(L^r\)-\(L^q\) regularization and decay estimates of certain nonlinear evolutions

DOI10.1016/j.jde.2010.05.022zbMath1211.35164OpenAlexW2066344525MaRDI QIDQ712181

Gabriele Grillo

Publication date: 28 October 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.05.022

zbMATH Keywords

weighted \(p\)-LaplacianSobolev and logarithmic Sobolev inequality

Mathematics Subject Classification ID

Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (6)

Smoothing effects for the filtration equation with different powers ⋮ Sharp \(L^p\)-Moser inequality on Riemannian manifolds ⋮ Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities ⋮ Some degenerate parabolic problems: existence and decay properties ⋮ On uniform and decay estimates for unbounded solutions of partial differential equations ⋮ Hardy inequalities resulted from nonlinear problems dealing with \(A\)-Laplacian

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