Relative rearrangement for highly nonlinear equations

DOI10.1016/0362-546X(95)93090-QzbMath0830.35036OpenAlexW2016907495MaRDI QIDQ4842091

Jean Michel Rakotoson

Publication date: 26 July 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)93090-q

zbMATH Keywords

monotone decreasing rearrangement

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Nonlinear elliptic equations (35J60)

Related Items (9)

Mathematical treatment of the magnetic confinement in a current carrying stellarator ⋮ On a nonlocal stationary free-boundary problem arising in the confinement of a plasma in a stellarator geometry ⋮ Multivalued fixed point index and nonlocal problems involving relative rearrangement ⋮ Existence of solutions for a nonlocal problem arising in plasma physics ⋮ On a nonlocal elliptic problem arising in the magnetic confinement of a plasma in a stellarator ⋮ On a nonlocal problem for a confined plasma in a tokamak. ⋮ Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems ⋮ Nonlocal generalized models for a confined plasma in a tokamak ⋮ On a nonlocal elliptic problem arising in the confinement of a plasma in a current carrying stellarator

Cites Work

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• Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
• A differentiability result for the relative rearrangement
• Some properties of the relative rearrangement
• A co-area formula with applications to monotone rearrangement and to regularity
• Weakly Differentiable Functions
• Symmetric Decreasing Rearrangement Is Sometimes Continuous

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