Existence and Multiplicity of Positive Solutions for a Quasilinear Problem with Nonhomogeneous Dirichlet Condition
Published in Preprint (submitted), 2025
We establish existence and multiplicity of positive solutions for a class of quasilinear elliptic problems involving the $p$-Laplace operator under nonhomogeneous Dirichlet boundary conditions. The arguments combine variational techniques (Mountain Pass-type results) with the method of sub- and super-solutions.
Status: Submitted, 2025.
Recommended citation: L. Iturriaga and F. Pérez. (2025). "Existence and Multiplicity of Positive Solutions for a Quasilinear Problem with Nonhomogeneous Dirichlet Condition." Preprint.