O. Méndez

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math.AP2025

Existence and Uniqueness for Double-Phase Poisson Equations with Variable Growth

Mohamed Khamsi, Osvaldo Mendez

We study a class of nonlinear elliptic problems driven by a double-phase operator with variable exponents, arising in the modeling of heterogeneous materials undergoing phase trans…

math.AP2024

The Dirichlet problem for the $p (x)$ -Laplacian with unbounded exponent $p (x)$

M. Khamsi, J. Lang, O. Mendez +1

We prove the solvability of the Dirichlet problem for the variable exponent $p$ -Laplacian with boundary data in $W^{1, p (x)} (Ω)$ on a bounded, smooth domain $Ω \subset R^{n}$ …

math.AP2023

Modular uniform convexity structures and applications to boundary value problems with non-standard growth

M. A. Khamsi, Osvaldo Mendez

We establish the existence and uniqueness of the solution to the Dirichlet problem for the variable exponent $p$ -Laplacian on a bounded, smooth domain $Ω \subset R^{n}$ , whe…

Existence and Uniqueness for Double-Phase Poisson Equations with Variable Growth

The Dirichlet problem for the p(x)-Laplacian with unbounded exponent p(x)

Modular uniform convexity structures and applications to boundary value problems with non-standard growth

The Dirichlet problem for the $p (x)$ -Laplacian with unbounded exponent $p (x)$