Semilinear Dirichlet problem for the fractional Laplacian
From MaRDI portal
Publication:1985863
DOI10.1016/j.na.2019.04.011zbMath1436.35171OpenAlexW2945408250WikidataQ110598116 ScholiaQ110598116MaRDI QIDQ1985863
Sven Jarohs, Edyta Kania, Krzysztof Bogdan
Publication date: 7 April 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.04.011
Related Items
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods ⋮ A new look at the fractional Poisson problem via the logarithmic Laplacian ⋮ Semilinear Dirichlet problem for subordinate spectral Laplacian ⋮ Representation of harmonic functions with respect to subordinate Brownian motion ⋮ Weak solution for fractional \((p_1,\dots,p_m)\)-Laplacian system with Dirichlet-type boundary conditions ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian ⋮ Continuum of positive solutions of superlinear fractional Laplacian problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian
- Blow up boundary solutions of some semilinear fractional equations in the unit ball
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Ten equivalent definitions of the fractional Laplace operator
- On the inequality \(\Delta u \geqq f (u)\)
- Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains
- Large solutions to elliptic equations involving fractional Laplacian
- Continuous solutions of the generalized Schrödinger equation and perturbation of harmonic spaces
- Representation of \(a\)-harmonic functions in Lipschitz domains
- Elliptic partial differential equations of second order
- On \(s\)-harmonic functions on cones
- On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results
- Yaglom limit for stable processes in cones
- Nonexistence results for a class of fractional elliptic boundary value problems
- Relative Fatou theorem for \(\alpha\)-harmonic functions in Lipschitz domains
- Symmetric stable processes in cones
- Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
- Remarks on the nonlocal Dirichlet problem
- Martin kernel for fractional Laplacian in narrow cones
- Estimates and structure of \(\alpha\)-harmonic functions
- Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes
- Lévy Systems and Moment Formulas for Mixed Poisson Integrals
- Gaugeability and conditional gaugeability
- On solutions of δu=f(u)
- Bessel potentials, hitting distributions and Green functions
- Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
- The boundary Harnack principle for the fractional Laplacian
- Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains
- From Brownian Motion to Schrödinger’s Equation
- Existence and nonexistence of positive solutions to the fractional equation Δ^α/2 u = –u^γ in bounded domains
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Measures, Integrals and Martingales
- Continuity of eigenvalues for Schrödinger operators, \(L^p\)-properties of Kato type integral operators.
