Symmetrization for fractional Neumann problems

DOI10.1016/j.na.2016.08.029zbMath1349.35411arXiv1601.07476OpenAlexW2962799342MaRDI QIDQ334086

Bruno Volzone

Publication date: 31 October 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07476

zbMATH Keywords

symmetrizationNeumann problemsfractional Laplaciannonlocal elliptic and parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11)

Related Items

Symmetrization for fractional Neumann problems ⋮ Existence of positive solutions for nonlinear fractional Neumann elliptic equations ⋮ The fractional nonlocal Ornstein-Uhlenbeck equation, Gaussian symmetrization and regularity ⋮ Symmetrization for fractional elliptic problems: a direct approach ⋮ Comparison results for a nonlocal singular elliptic problem ⋮ On the Neumann problem for fractional semilinear elliptic equations arising from Keller–Segel model ⋮ Numerical approximations for fractional elliptic equationsviathe method of semigroups ⋮ Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
• Fractional elliptic equations, Caccioppoli estimates and regularity
• Symmetrization for fractional Neumann problems
• Extension problem and fractional operators: semigroups and wave equations
• Fractional diffusion with Neumann boundary conditions: the logistic equation
• Optimal estimates for fractional fast diffusion equations
• Fractional semilinear Neumann problems arising from a fractional Keller-Segel model
• Nonlocal problems with Neumann boundary conditions
• A fractional porous medium equation
• Comparison and regularity results for the fractional Laplacian via symmetrization methods
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Well-posed elliptic Neumann problems involving irregular data and domains
• Functional analysis, Sobolev spaces and partial differential equations
• On symmetrizations in parabolic equations
• Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type
• Elliptic boundary value problems: comparison results via symmetrization
• A concave—convex elliptic problem involving the fractional Laplacian
• A General Fractional Porous Medium Equation
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Symmetrization in parabolic neumann problems
• Symmetrization in neumann problems
• Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
• Elliptic equations and Steiner symmetrization
• An Extension Problem Related to the Fractional Laplacian
• Neumann Problems and Steiner Symmetrization