Nonlinear double phase eigenvalue problems
Abstract
We consider a nonlinear eigenvalue problem driven by the double phase differential operator. We prove two existence theorems, both producing a continuous spectrum and the first generates eigenfunctions which blow up in the W 0 1 , θ ( Ω ) ∩ L r ( Ω ) -norm ( 1 < q < p < r < q ∗ ) , while the second generates eigenfunctions which vanish in the W 0 1 , θ ( Ω ) ∩ L ∞ ( Ω ) -norm as λ → 0 + .
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Spectral Theory in Mathematical Physics
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Mathematics and Mechanics of Solids
- Publisher
- SAGE Publications
- Volume
- 31
- Issue
- 3
- Pages
- 580–595
- Publication date
- 2 January 2026
- Language
- EN