Overdetermined fractional Serrin problem
Year: 2026
Type: article
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.
Authors: Nicola Garofalo, Dimiter Vassilev
Institutions: Arizona State University, University of New Mexico
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W4417409167
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