A note on quasilinear equations with fractional diffusion
From MaRDI portal
Publication:2167455
DOI10.3934/mine.2021018zbMath1496.35412arXiv2003.13069OpenAlexW3038283433MaRDI QIDQ2167455
Pablo Ochoa, Boumediene Abdellaoui, Ireneo Peral Alonso
Publication date: 25 August 2022
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.13069
Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11)
Related Items (6)
On some nonlocal elliptic systems with gradient source terms ⋮ Singular non local problem with gradient term ⋮ Fractional KPZ equations with fractional gradient term and Hardy potential ⋮ Partial differential equations from theory to applications: dedicated to Alberto Farina, on the occasion of his 50th birthday ⋮ Unnamed Item ⋮ Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations
Cites Work
- Nonlocal diffusion and applications
- The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian
- Estimates of the Green function for the fractional Laplacian perturbed by gradient
- Non-local gradient dependent operators
- Hitchhiker's guide to the fractional Sobolev spaces
- Hölder estimates for viscosity solutions of equations of fractional \(p\)-Laplace type
- On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion
- Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
- Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Functional analysis, Sobolev spaces and partial differential equations
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- Résolution de problèmes elliptiques quasilineaires
- Estimates on Green functions and Poisson kernels for symmetric stable processes
- Existence and nonexistence of solutions for some nonlinear elliptic equations
- Criteria of solvability for multidimensional Riccati equations
- Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
- Semilinear fractional elliptic equations with gradient nonlinearity involving measures
- The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
- Equivalence of solutions to fractional \(p\)-Laplace type equations
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Weak and viscosity solutions of the fractional Laplace equation
- Semilinear fractional elliptic equations involving measures
- Non-local Diffusions, Drifts and Games
- Nonlocal Operators with Applications to Image Processing
- Dynamic Scaling of Growing Interfaces
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Regularity theory for fully nonlinear integro-differential equations
- Towards a deterministic KPZ equation with fractional diffusion: the stationary problem
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A note on quasilinear equations with fractional diffusion
