collaborators
Showing math.APShow all

4 papers · 1 filter

math.AP2026

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…

math.AP2026

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 \[ Θ_{l,θ}:= \{(x,t) \in \mathbf{R}^{n+1}…

math.AP2025

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…

math.AP2025

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…