A co-area formula with applications to monotone rearrangement and to regularity
From MaRDI portal
Publication:1812876
DOI10.1007/BF00375089zbMath0735.49039MaRDI QIDQ1812876
Roger M. Temam, Jean Michel Rakotoson
Publication date: 25 June 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Related Items (32)
General pointwise relations for the relative rearrangement and applications ⋮ Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications ⋮ Minimal rearrangements of Sobolev functions: A new proof. ⋮ Minkowski-Bouligand dimension of solutions of the one-dimensional \(p\)-Laplacian. ⋮ Relative rearrangement on a measure space. Application to the regularity of weighted monotone rearrangement. I ⋮ Mathematical treatment of the magnetic confinement in a current carrying stellarator ⋮ Trace imbeddings for \(T\)-sets and application to Neumann-Dirichlet problems with measures included in the boundary data ⋮ Strong continuity of the relative rearrangement maps and application to a Galerkin approach for nonlocal problems ⋮ Higher-order symmetrization inequalities 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 ⋮ Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach ⋮ Lipschitz properties in variable exponent problems via relative rearrangement ⋮ Polar factorization and pseudo-rearrangements: applications to Pólya-Szegö type inequalities ⋮ On the existence of the free boundary for some problems arising in plasma physics. ⋮ Existence of solutions for a nonlocal problem arising in plasma physics ⋮ An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a stellarator. ⋮ Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent ⋮ Boundary trace inequalities and rearrangements ⋮ Comparison and regularity results for degenerate elliptic equations related to Gauss measure ⋮ On a nonlocal problem for a confined plasma in a tokamak. ⋮ Some qualitative properties of solutions of quasilinear elliptic equations and applications ⋮ Unnamed Item ⋮ Local regularity of the monotone rearrangement. ⋮ Existence of solutions for degenerate quasilinear elliptic equations ⋮ Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems ⋮ Unnamed Item ⋮ Nonlocal generalized models for a confined plasma in a tokamak ⋮ Second-order derivatives and rearrangements ⋮ On a nonlocal elliptic problem arising in the confinement of a plasma in a current carrying stellarator ⋮ Small Lebesgue spaces and their applications ⋮ On a nonlocal quasilinear parabolic model related to a current-carrying stellarator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetrisierung für Funktionen mehrerer reeller Variablen
- An integral formula for total gradient variation
- Multivalued fixed point index and nonlocal problems involving relative rearrangement
- 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)
- A differentiability result for the relative rearrangement
- Normal and integral currents
- Existence of bounded solutions of some degenerate quasilinear elliptic equations
This page was built for publication: A co-area formula with applications to monotone rearrangement and to regularity
