collaborators

4 papers

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

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

Julián Fernández Bonder, Pablo Ochoa, Analía Silva

In this paper we obtain Calderón-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem where the primitive o…

math.AP2024

Existence of weak solutions for the anisotropic -Laplacian via degree theory

Pablo Ochoa, Analía Silva, Federico Valverde

In this paper, we consider Dirichlet boundary value problem involving the anisotropic -Laplacian, where , with in . Using…

math.AP2024

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

Pablo Ochoa, Analía Silva

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