Timo Takala

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20242026

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math.AP2026

Existence and stability of solutions of the Dirichlet problem for the $p$ -Poisson equation in metric measure spaces

Luis Castillo, Timo Takala

We study the Dirichlet problem for the $p$ -Poisson equation in the metric measure space setting equipped with a doubling measure and supporting a $(p, p)$ -Poincaré inequality. We pr…

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 $p$ -Poincaré inequality, establishing existence of solutions to Dirichlet problem in a bounded…

Existence and stability of solutions of the Dirichlet problem for the p-Poisson equation in metric measure spaces

Solving Dirichlet problem on unbounded uniform domains by using sphericalization techniques

Existence and stability of solutions of the Dirichlet problem for the $p$ -Poisson equation in metric measure spaces