Some properties of the relative rearrangement

DOI10.1016/0022-247X(88)90169-2zbMath0686.28003MaRDI QIDQ1262402

Jean Michel Rakotoson

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hardy-Littlewood inequalitydecreasing rearrangementrelative rearrangement

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Inequalities for sums, series and integrals (26D15)

Related Items (13)

General pointwise relations for the relative rearrangement and applications ⋮ On a nonlocal stationary free-boundary problem arising in the confinement of a plasma in a stellarator geometry ⋮ Relative rearrangement for highly nonlinear equations ⋮ 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 ⋮ On the existence of the free boundary for some problems arising in plasma physics. ⋮ Réarrangement relatif dans les équations elliptiques quasi- linéaires avec un second membre distribution: Application à un théorème d'existence et de régularité. (Relative rearrangement in quasilinear elliptic equations with distributional right side: Application to an existence theorem and to regularity) ⋮ An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a stellarator. ⋮ Comparison and regularity results for degenerate elliptic equations related to Gauss measure ⋮ Existence of solutions for degenerate quasilinear elliptic equations ⋮ Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems ⋮ On some degenerate and nondegenerate quasilinear elliptic systems with nonhomogeneous Dirichlet boundary condition

Cites Work

• Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
• Time behaviour of solutions of parabolic problems
• Rearrangements of functions and convergence in orlicz spaces
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