Weak solutions of a discrete Robin problem involving the anisotropic \(\vec{p}\)-mean curvature operator
Abstract
This work investigates the existence and uniqueness of a solution to a discrete Robin boundary value problem involving the anisotropic \(\vec{p}\)-mean curvature operator. The existence result is established through variational methods, specifically by applying the Mountain Pass Theorem of Ambrosetti and Rabinowitz in combination with Ekeland’s Variational Principle. Uniqueness is obtained under the assumption of Lipschitz continuity on the nonlinear term.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Optimization and Variational Analysis
Publication details
- Journal / source
- Cubo
- Volume
- 28
- Issue
- 1
- Pages
- 1–1
- Publication date
- 13 January 2026
- Language
- EN