5 papers · 1 filter
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}:…
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 con…
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…
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…
The quasisuperminimizing constant for the minimum of two quasisuperminimizers in R^n
Anders Björn, Jana Björn, Ismail Mirumbe
It was shown in Björn--Björn--Korte ("Minima of quasisuperminimizers", Nonlinear Anal. 155 (2017), 264-284) that is a -quasisuperminimizer if $u_…