5 papers
Perron solutions and boundary regularity for nonlocal nonlinear Dirichlet problems
Anders Björn, Jana Björn, Minhyun Kim
For nonlinear operators of fractional \p-Laplace type, we consider two types of solutions to the nonlocal Dirichlet problem: Sobolev solutions based on fractional Sobolev spaces an…
Quasicontinuity of functions and the Vitali-Carathéodory property on general metric spaces
Anders Björn, Jana Björn
This note is a follow up on our recent paper with L. Malý (to appear in Rev. Mat. Complut.). We provide a simple example of a compact metric space for which $L^\inft…
Barriers, Barenblatt solutions and regularity of soda can domains for the heat equation and nonlinear -parabolic equations
Anders Björn, Jana Björn
In this paper we study when the origin is a regular (or irregular) boundary point for the so-called soda can domains of the type \[ Î_{l,θ}:= \{(x,t) \in \mathbf{R}^{n+1}…
Boundary regularity and Wiener-type criteria at infinity for nonlinear elliptic equations of -Laplace type
Anders Björn, Jana Björn, David Manolis
We study boundary regularity at the infinity point for nonlinear elliptic equations of -Laplace type in unbounded open sets . We co…
Semiregular and strongly irregular boundary points for nonlocal Dirichlet problems
Anders Björn, Jana Björn, Minhyun Kim
In this paper we study nonlocal nonlinear equations of fractional -Laplacian type on . We show that the irregular boundary points for the Dirichlet problem can…