Existence result for nonhomogeneous Schrödinger-type elliptic system via a variational approach
Abstract
In this paper, we study the existence of a weak solution for a class of elliptic systems involving nonhomogeneous operators. By using the Mountain-Pass theorem and establishing a compactness result, we prove the existence of nontrivial and non-negative weak solution. Our results generalize previous work by considering broader classes of operators and nonlinearities that satisfy superlinear growth conditions.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Modeling in Engineering
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- Complex Variables and Elliptic Equations
- Publisher
- Informa UK Limited
- Pages
- 1–16
- Publication date
- 14 January 2026
- Language
- EN