Positive solutions for parametric singular $ p(x) $ -Laplacian problems
Abstract
We obtain existence and multiplicity results for elliptic parametric variable exponent problems where the reaction term exhibits a mildly singularity at zero and driven by two positive parameters. We improve some recent results obtained in the $ p $-Laplacian case, for the variable exponent setting. Moreover, near zero, we generalize the growth assumptions. A computable estimate of parameters is also furnished.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - S
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 28
- Issue
- 0
- Pages
- 71–90
- Publication date
- 1 January 2026