Multiplicity of solutions to a class of degenerate elliptic equations in both sub-critical and critical cases
Abstract
Given a smooth, bounded domain Ω⊂RN, we establish the existence of two non-trivial, non-negative solutions to the semilinear degenerate elliptic equation −Δλu=μg(z)|u|r−1u+h(z)|u|s−1uin Ωu∈H01,λ(Ω)} where Δλ=Δx+|x|2λΔy denotes the Grushin Laplacian Operator, z=(x,y)∈Ω, N=n+m; n, m≥1, λ>0, 0≤r
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Nonlinear Partial Differential Equations
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Complex Variables and Elliptic Equations
- Publisher
- Informa UK Limited
- Pages
- 1–26
- Publication date
- 30 July 2026
- Language
- EN