Analía Silva

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20232025

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math.AP2024

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

Pablo Ochoa, Analía 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 $Ω$ . 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…

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

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

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