3 papers
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…
math.AP2023
A priori estimates for solutions of -Laplace type problems
I. Ceresa-Dussel, J. Fernández Bonder, A. Silva
In this work we study a priori bounds for weak solution to elliptic problems with nonstandard growth that involves the so-called Laplace operator. The Laplacian is a genera…