Overdetermined fractional Serrin problem
Abstract
Abstract In this work, we establish a Serrin-type symmetry result for a class of degenerate elliptic operators that naturally arise in the theory of generalized axially symmetric potentials. The relevant differential operator is L a = ∂ r r u + a r ∂ r u + Δ y u {L_{a}=\partial_{rr}u+\frac{a}{r}\partial_{r}u+\Delta_{y}u} , where a ≥ 0 {a\geq 0} represents the fractional parameter.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Advances in Calculus of Variations
- Publisher
- Walter de Gruyter GmbH
- Volume
- 19
- Issue
- 3
- Pages
- 451–465
- Publication date
- 25 June 2026
- Language
- EN