3 papers
math.AP2025
Removable set for Hölder continuous solutions of -harmonic functions on Finsler manifolds
Juan Pablo Alcon Apaza
We establish that a closed set is removable for -Hölder continuous -harmonic functions in a reversible Finsler manifold of dimens…
math.AP2024
Weighted Sobolev Spaces and an Elliptic Eigenvalue Problem with an Indefinite Weight on Domains in Noncompact Riemannian Manifolds
Juan Pablo Alcon Apaza
The aim of this work is to establish sufficient conditions ensuring the continuity and compactness of the weighted Sobolev embedding and trace operators $$ W^{1, q}\left(Ω; \mathtt…
math.AP2022
Some eigenvalue problems involving the (p(x),q(x))-Laplacian
Juan Alcon Apaza
In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under some appropriate conditions on the data involved in the elliptic problem, we prove…