A spectral characterization of geodesic balls in non-compact rank one symmetric spaces

DOI10.2422/2036-2145.201612_011zbMath1457.46044arXiv1611.06081OpenAlexW2962705495MaRDI QIDQ3299398

Philippe Castillon, Berardo Ruffini

Publication date: 22 July 2020

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06081

zbMATH Keywords

geodesic ballsfirst Steklov eigenvaluerank one symmetric spaceBrock-Weinstock inequality

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Optimization of shapes other than minimal surfaces (49Q10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) PDEs on manifolds (35R01)

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