3 papers
math.AP2025
Calderón-Zygmund estimates for higher order elliptic equations in Orlicz-Sobolev spaces
Julián Fernández Bonder, Pablo Ochoa, AnalÃa Silva
In this paper we obtain Calderón-Zygmund estimates for the laplacian of the following fourth order quasilinear elliptic problem where the prim…
math.AP2024
Existence of weak solutions for the anisotropic -Laplacian via degree theory
Pablo Ochoa, AnalÃa Silva, Federico Valverde
In this paper, we consider Dirichlet boundary value problem involving the anisotropic -Laplacian, where , with in . 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|}…