A class of eigenvalue problems for $$(\phi ,\overrightarrow{\tau }(\cdot ))$$-fractional spaces
Abstract
Abstract In this paper, we are concerned with a new class of $$\phi $$ ϕ -fractional spaces involving anisotropic $$\overrightarrow{\tau }(\cdot )$$ τ → ( · ) -Laplacian operators, abbreviated as ( $$\phi ,\overrightarrow{\tau }(\cdot )$$ ϕ , τ → ( · ) )-HFDA, for differential equations with a power-like variable reaction term. By utilizing the Mountain Pass Theorem together with Ekeland’s Principle, we proof the existence of precise intervals of positive parameters that admit nontrivial solutions for an eigenvalue problem since $$\tau _{M}^{+}
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Computational and Applied Mathematics
- Volume
- 45
- Issue
- 7
- Publication date
- 3 March 2026
- Language
- EN