Equivalence of weak and viscosity solutions in fractional non-homogeneous problems
From MaRDI portal
Publication:832510
DOI10.1007/s00208-020-02119-wzbMath1503.35248arXiv2006.08384OpenAlexW3108101440MaRDI QIDQ832510
Publication date: 25 March 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.08384
Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11) Comparison principles in context of PDEs (35B51)
Related Items (7)
Comparison principles for nonlocal Hamilton-Jacobi equations ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth ⋮ A strong maximum principle for mixed local and nonlocal p-Laplace equations ⋮ Fractional KPZ equations with fractional gradient term and Hardy potential ⋮ Equivalence of solutions for non-homogeneous \(p(x) \)-Laplace equations ⋮ Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation ⋮ Deterministic KPZ-type equations with nonlocal ``gradient terms
Cites Work
- Unnamed Item
- Local behavior of fractional \(p\)-minimizers
- Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
- Nonlocal Harnack inequalities
- Non-local gradient dependent operators
- Hitchhiker's guide to the fractional Sobolev spaces
- Global Hölder regularity for the fractional \(p\)-Laplacian
- A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian
- A Widder's type theorem for the heat equation with nonlocal diffusion
- The maximum principle
- The Dirichlet problem for the \(p\)-fractional Laplace equation
- Strong comparison principle for the fractional \(p\)-Laplacian and applications to starshaped rings
- Asymptotic mean value properties for fractional anisotropic operators
- Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
- Interior regularity for fractional systems
- A theorem of Radó's type for the solutions of a quasi-linear equation
- A symmetry result in \(\mathbb{R}^2\) for global minimizers of a general type of nonlocal energy
- A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up
- Equivalence of solutions to fractional \(p\)-Laplace type equations
- Some remarks about the summability of nonlocal nonlinear problems
- Nonlocal self-improving properties
- Nonlocal equations with measure data
- Comparison principles for \(p\)-Laplace equations with lower order terms
- A class of integral equations and approximation of \(p\)-Laplace equations
- On viscosity and weak solutions for non-homogeneous \(p\)-Laplace equations
- Weak and viscosity solutions of the fractional Laplace equation
- The obstacle problem for nonlinear integro-differential operators
- Fractional eigenvalues
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- A New Proof for the Equivalence of Weak and Viscosity Solutions for thep-Laplace Equation
- Regularity for a fractional p-Laplace equation
- Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’
- Removable singularities of solutions of elliptic equations
This page was built for publication: Equivalence of weak and viscosity solutions in fractional non-homogeneous problems
