Relative rearrangement on a measure space. Application to the regularity of weighted monotone rearrangement. I

DOI10.1016/0893-9659(93)90152-DzbMath0781.49024MaRDI QIDQ2365997

Jean-Michel

Publication date: 29 June 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

weighted spacesrelative rearrangementweighted Sobolev imbeddings

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (7)

An isoperimetric inequality for Gauss-like product measures ⋮ On a nonlocal stationary free-boundary problem arising in the confinement of a plasma in a stellarator geometry ⋮ Lipschitz properties in variable exponent problems via relative rearrangement ⋮ Isoperimetric inequalities for the first Neumann eigenvalue in Gauss space ⋮ Optimal Szegő-Weinberger type inequalities ⋮ Comparison and regularity results for degenerate elliptic equations related to Gauss measure ⋮ Symmetrization techniques on unbounded domains: Application to a chemotaxis system on \(\mathbb{R}^N\)

Cites Work

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• Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
• A co-area formula with applications to monotone rearrangement and to regularity
• On optimization problems with prescribed rearrangements

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