Comparison and regularity results for the fractional Laplacian via symmetrization methods
type: Item
instance of: scholarly article
title: Comparison and regularity results for the fractional Laplacian via symmetrization methods
zbMATH Open document ID: 1255.35217
author: Bruno Volzone
author: G. Di Blasio
published in: Journal of Differential Equations
publication date: 2012-10-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1106.0997
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6099372
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: symmetrization
zbMATH Keywords: comparison results
MaRDI profile type: Publication
OpenAlex ID: W2963072267
arXiv ID: 1106.0997
cites work: Elliptic equations and Steiner symmetrization
cites work: Comparison results for elliptic and parabolic equations via Schwarz symmetrization
cites work: Q3876353
cites work: Symmetrization of Lévy processes and applications
cites work: Q4039801
cites work: Symmetrization, symmetric stable processes, and Riesz capacities
cites work: On the Distribution of First Hits for the Symmetric Stable Processes
cites work: Potential theory of Schrödinger operator based on fractional Laplacian
cites work: Heat kernel of fractional Laplacian in cones
cites work: Estimates of the Green function for the fractional Laplacian perturbed by gradient
cites work: Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
cites work: Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: Free boundary problems for fractional powers of the Laplacian
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Variational problems with free boundaries for the fractional Laplacian
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: A second order derivation formula for functions defined by integrals
cites work: $\Gamma$-Limit of a Phase-Field Model of Dislocations
cites work: Q3248306
cites work: Q5812325
cites work: Homogenization of First Order Equations with (u/ε)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics
cites work: Rearrangements and convexity of level sets in PDE
cites work: Solutions of a pure critical exponent problem involving the half-Laplacian in annular-shaped domains
cites work: Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
cites work: Q5666837
cites work: Q5339472
cites work: Q5549989
cites work: Q3797593
cites work: Convolution operators and L(p, q) spaces
cites work: Q4406669
cites work: Q5533735
cites work: Q4937701
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Q4108681
cites work: Q3737845
cites work: Density Estimates for a Nonlocal Variational Model via the Sobolev Inequality
DOI: 10.1016/J.JDE.2012.07.004
description: scientific article