Hopf's lemma for viscosity solutions to a class of non-local equations with applications
From MaRDI portal
Publication:2227840
DOI10.1016/j.na.2020.112194zbMath1458.35126arXiv1902.07452OpenAlexW3109357041WikidataQ124816596 ScholiaQ124816596MaRDI QIDQ2227840
Publication date: 16 February 2021
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/1902.07452
subordinate Brownian motionmoving planesHopf's lemmaascending ladder height processBernstein functions of the Laplaciannon-local Dirichlet problemoverdetermined torsion equationprincipal eigenvalue problem
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Maximum principles in context of PDEs (35B50) Boundary value problems for PDEs with pseudodifferential operators (35S15) Viscosity solutions to PDEs (35D40)
Related Items (8)
A Hopf lemma for the regional fractional Laplacian ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth ⋮ Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications ⋮ Boundary regularity of mixed local-nonlocal operators and its application ⋮ Hopf type lemmas for subsolutions of integro-differential equations ⋮ A study of nonlocal spatially heterogeneous logistic equation with harvesting ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian ⋮ Generalized principal eigenvalues on \({\mathbb{R}}^d\) of second order elliptic operators with rough nonlocal kernels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Suprema of Lévy processes
- Dirichlet heat kernel for unimodal Lévy processes
- New trends in free boundary problems
- A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian
- Fall-off of eigenfunctions for non-local Schrödinger operators with decaying potentials
- Hopf's lemma and constrained radial symmetry for the fractional Laplacian
- Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations
- The strong maximum principle revisited.
- (non)local and (non)linear free boundary problems
- Contractivity and ground state domination properties for non-local Schrödinger operators
- A Hopf's lemma and the boundary regularity for the fractional \(p\)-Laplacian
- Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems
- Universal constraints on the location of extrema of eigenfunctions of non-local Schrödinger operators
- On the strong maximum principle for second order nonlinear parabolic integro-differential equations
- Zero-energy bound state decay for non-local Schrödinger operators
- Extension technique for complete Bernstein functions of the Laplace operator
- Overdetermined problems for the fractional Laplacian in exterior and annular sets
- Threshold between short and long-range potentials for non-local Schrödinger operators
- Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators
- Concentrating solutions for a class of nonlinear fractional Schrödinger equations in \(\mathbb{R}^N\)
- On overdetermined problems for a general class of nonlocal operators
- Principal eigenvalues of a class of nonlinear integro-differential operators
- Periodic solutions for a pseudo-relativistic Schrödinger equation
- Barriers, exit time and survival probability for unimodal Lévy processes
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes
- Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations
- Density and tails of unimodal convolution semigroups
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- The extremal solution for the fractional Laplacian
- A symmetry problem in potential theory
- Remark on the preceding paper of Serrin
- On some relations between the harmonic measure and the Levy measure for a certain class of Markov processes
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Overdetermined problems with fractional laplacian
- Regularity theory for fully nonlinear integro-differential equations
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- Maximum Principles and Aleksandrov--Bakelman--Pucci Type Estimates for NonLocal Schrödinger Equations with Exterior Conditions
- Potential Theory of Subordinate Brownian Motions Revisited
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Liouville type results for systems of equations involving fractional Laplacian in exterior domains
- Bernstein functions. Theory and applications
- Nonlocal equations in bounded domains: a survey
- Symmetry via antisymmetric maximum principles in nonlocal problems of variable order
This page was built for publication: Hopf's lemma for viscosity solutions to a class of non-local equations with applications
