Some relations between pseudo-rearrangement and relative rearrangement

DOI10.1016/S0362-546X(98)00313-7zbMath1008.28003MaRDI QIDQ1585020

Roberta Volpicelli, Adele Ferone

Publication date: 6 November 2000

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

distribution functionmeasurable functionmean-value operatorrelative rearrangementpseudo-rearrangement

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (14)

Gradient estimates for nonlinear elliptic equations with first order terms ⋮ Estimates for solutions to nonlinear degenerate elliptic equations with lower order terms ⋮ On Hardy inequalities with a remainder term ⋮ Lipschitz properties in variable exponent problems via relative rearrangement ⋮ Polar factorization and pseudo-rearrangements: applications to Pólya-Szegö type inequalities ⋮ Parabolic equations related to Boltzmann measure ⋮ Comparison results for nonlinear degenerate Dirichlet and Neumann problems with general growth in the gradient ⋮ Continuous dependence on the data for nonlinear elliptic equations with a lower order term ⋮ Comparison and regularity results for degenerate elliptic equations related to Gauss measure ⋮ Continuous dependence on the data for nonlinear elliptic equations via symmetrization ⋮ Symmetrization for singular semilinear elliptic equations ⋮ Nonlocal generalized models for a confined plasma in a tokamak ⋮ Estimates for the gradient of solutions of nonlinear elliptic equations with \(L^1\) data ⋮ Small Lebesgue spaces and their applications

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