Nehari manifold approach for a singular multi-phase variable exponent problem
Abstract
This paper is concerned with a singular multi-phase problem with variable singularities. The main tool used is the Nehari manifold approach. Existence of at least two positive solutions with positive-negative energy levels are obtained. For the illustration of the main results, an application from fluid flow in a heterogeneous porous medium is provided.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Quaestiones Mathematicae
- Volume
- 49
- Issue
- 5
- Pages
- 569–589
- Publication date
- 29 January 2026
- Language
- EN