Osvaldo Méndez

collaborators

2 papers

math.AP2026

Limit as $p (x) \to \infty$ of $p (x)$ -Harmonic functions for unbounded $p (x)$

Behzad Djafari Rouhani, Jan Lang, Osvaldo Méndez

It is shown that if $p_{n}$ is a sequence of continuous, unbounded exponents on a bounded, smooth domain $Ω \subset R^{n}$ with $1 < x \in Ω in f p_{n} (x)$ and $p_n\rightar…

math.AP2025

$p (x)$ -Stability of the Dirichlet problem for Poisson's equation with variable exponents

Behzad Djafari Rouhani, Osvaldo Mendez

It is shown that if the sequence $(p_{j} (x))$ increases uniformly to $p (x)$ in a bounded, smooth domain $Ω$ , then the sequence $(u_{i})$ of solutions to the Dirichlet problem for the $…

Limit as p(x)→∞ of p(x)-Harmonic functions for unbounded p(x)

p(x)-Stability of the Dirichlet problem for Poisson's equation with variable exponents

Limit as $p (x) \to \infty$ of $p (x)$ -Harmonic functions for unbounded $p (x)$

$p (x)$ -Stability of the Dirichlet problem for Poisson's equation with variable exponents