Showing math.APShow all
2 papers · 1 filter
math.AP2026
Existence and stability of solutions of the Dirichlet problem for the -Poisson equation in metric measure spaces
Luis Castillo, Timo Takala
We study the Dirichlet problem for the -Poisson equation in the metric measure space setting equipped with a doubling measure and supporting a -Poincaré inequality. We p…
math.AP2026
Solving Dirichlet problem on unbounded uniform domains by using sphericalization techniques
Riikka Korte, Sari Rogovin, Nageswari Shanmugalingam +1
Within the setting of metric spaces equipped with a doubling measure and supporting a -Poincaré inequality, establishing existence of solutions to Dirichlet problem in a bounde…