Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
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Publication:2358543
DOI10.1007/s11401-017-1089-2OpenAlexW1697972882MaRDI QIDQ2358543
Bruno Volzone, Yannick Sire, Juan Luis Vazquez
Publication date: 15 June 2017
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07199
Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items (12)
Radial symmetry results for fractional Laplacian systems ⋮ The fractional nonlocal Ornstein-Uhlenbeck equation, Gaussian symmetrization and regularity ⋮ Symmetrization for fractional elliptic problems: a direct approach ⋮ A quantitative stability estimate for the fractional Faber-Krahn inequality ⋮ Comparison results for a nonlocal singular elliptic problem ⋮ Symmetrization for fractional nonlinear elliptic problems ⋮ A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators ⋮ The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion ⋮ Uniqueness of minimal energy solutions for a semilinear problem involving the fractional Laplacian ⋮ Optimal control for cooperative systems involving fractional Laplace operators ⋮ On a Rayleigh-Faber-Krahn Inequality for the Regional Fractional Laplacian ⋮ Some results on the eigenvalue problem for a fractional elliptic equation
Cites Work
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- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Fractional elliptic equations, Caccioppoli estimates and regularity
- The fractional Cheeger problem
- Optimal estimates for fractional fast diffusion equations
- A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains
- 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
- Nonlinear ground state representations and sharp Hardy inequalities
- Rearrangements and convexity of level sets in PDE
- Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
- On symmetrizations in parabolic equations
- Minimal rearrangements of Sobolev functions: A new proof.
- Variational methods for non-local operators of elliptic type
- Classical solutions and higher regularity for nonlinear fractional diffusion equations
- A remark on the analyticity of the solutions for nonlinear elliptic partial differential equations
- Weak and viscosity solutions of the fractional Laplace equation
- Quantitative local and global a priori estimates for fractional nonlinear diffusion equations
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Symmetrization for linear and nonlinear fractional parabolic equations of porous medium type
- Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
- Classical solutions for a logarithmic fractional diffusion equation
- A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes
- A concave—convex elliptic problem involving the fractional Laplacian
- On the spectrum of two different fractional operators
- From the long jump random walk to the fractional Laplacian
- A General Fractional Porous Medium Equation
- Nonlinear Diffusion with Fractional Laplacian Operators
- On Fractional Laplacians
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Lévy Processes and Stochastic Calculus
- Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
- Symmetrization, symmetric stable processes, and Riesz capacities
- An Extension Problem Related to the Fractional Laplacian
- Holder estimates for solutions of integro differential equations like the fractional laplace
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
- Generalized Isoperimetric Inequalities
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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