7 papers
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…
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…
Renormalized Solutions for Quasilinear Elliptic Equations with Robin Boundary Conditions, Lower-Order Terms, and Data
Juan A. Apaza, Manassés de Souza
In this paper, we establish the existence of a solution for a class of quasilinear equations characterized by the prototype: \begin{equation} \left\{\begin{aligned} -\operatorname{…
Removable singularities in the boundary for quasilinear elliptic equations
Juan A. Apaza, Manassés de Souza
In this work, we are interested in to study removability of a singular set in the boundary for some classes of quasilinear elliptic equations. We will approach this question in two…
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…
On removable singularities for solutions of Neumann problem for elliptic equations involving variable exponent
Juan Pablo Alcon Apaza
We study the removability of a singular set in the boundary of Neumann problem for elliptic equations with variable exponent. We consider the case where the singular set is compact…
A singular Yamabe problem on manifolds with solid cones
Juan Alcon Apaza, Sergio Almaraz
We study the existence of conformal metrics on non-compact Riemannian manifolds with non-compact boundary, which are complete as metric spaces and have negative constant scalar cur…