Pablo Ochoa

activity

20242026

collaborators

5 papers

math.AP2026

An eigenvalue problem for a generalized polyharmonic operator in Orlicz-Sobolev spaces without the $I^_{2}$ -condition

Ignacio Ceresa Dussel, JuliÃ¡n FernÃ¡ndez Bonder, Pablo Ochoa

In this paper, we consider a generalized polyharmonic eigenvalue problem of the form $A (u) = I^» h (u)$ in a bounded smooth domain with Dirichlet boundary conditions in the setting of…

math.AP2025

Elliptic systems in Orlicz-Sobolev spaces with critical sources in bounded domains

Pablo Ochoa

In this paper, we show the existence of non-trivial solutions to very general elliptic systems with critical non-linearities in the sense of embeddings in Orlicz-Sobolev spaces. Th…

math.AP2025

CalderÃ³n-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces

JuliÃ¡n FernÃ¡ndez Bonder, Pablo Ochoa, AnalÃa Silva

In this paper we obtain CalderÃ³n-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem $I^ (g (I^ u) I^ u) = I^ (g (I^ f) I^ f) .$ where the prim…

math.AP2024

Existence of weak solutions for the anisotropic $p (x)$ -Laplacian via degree theory

Pablo Ochoa, AnalÃa Silva, Federico Valverde

In this paper, we consider Dirichlet boundary value problem involving the anisotropic $p (x)$ -Laplacian, where $p (x) = (p_{1} (x), ..., p_{n} (x))$ , with $p_{i} (x) > 1$ in $I^c ◯$ . Usin…

math.AP2024

Nonlinear eigenvalue problems for a biharmonic operator in Orlicz-Sobolev spaces

Pablo Ochoa, AnalÃa Silva

In this paper, we introduce a new higher-order Laplacian operator in the framework of Orlicz-Sobolev spaces, the biharmonic g-Laplacian $$Î_g^2 u:=Î\left(\dfrac{g(|Îu|)}{|Îu|}…