Symmetrization for fractional elliptic problems: a direct approach

DOI10.1007/s00205-020-01601-8zbMath1473.35161arXiv2007.13195OpenAlexW3044859352MaRDI QIDQ2658517

Publication date: 23 March 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13195

zbMATH Keywords

rearrangement inequality fractional elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fractional partial differential equations (35R11)

Related Items (3)

Comparison results for a nonlocal singular elliptic problem ⋮ Symmetrization for fractional nonlinear elliptic problems ⋮ Some applications of the chambers isoperimetric inequality

Cites Work

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Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
Nonlocal diffusion and applications
Regularity theory for general stable operators
Symmetrization for fractional Neumann problems
Radial fractional Laplace operators and Hessian inequalities
Hitchhiker's guide to the fractional Sobolev spaces
Optimal estimates for fractional fast diffusion equations
Global Hölder regularity for the fractional \(p\)-Laplacian
Comparison and regularity results for the fractional Laplacian via symmetrization methods
Some observations on the Green function for the ball in the fractional Laplace framework
Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
On symmetrizations in parabolic equations
Convex symmetrization and applications
The fractional nonlocal Ornstein-Uhlenbeck equation, Gaussian symmetrization and regularity
On the moving plane method for nonlocal problems in bounded domains
Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
The evolution fractional p-Laplacian equation in \(\mathbb{R}^N\). Fundamental solution and asymptotic behaviour
Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
Fractional calculus for power functions and eigenvalues of the fractional Laplacian
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type
Convolution operators and L(p, q) spaces
Extension Problem and Harnack's Inequality for Some Fractional Operators
First Passage Times for Symmetric Stable Processes in Space
On optimization problems with prescribed rearrangements
Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
Symmetric Decreasing Rearrangement Is Sometimes Continuous
The Poisson equation from non-local to local
Fractional thoughts
Symmetrization in Anisotropic Elliptic Problems
RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
An Extension Problem Related to the Fractional Laplacian
Fourier Transforms. (AM-19)
Nonlocal equations in bounded domains: a survey

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