Interpolating estimates with applications to some quantitative symmetry results

DOI10.3934/mine.2023002arXiv2109.02876OpenAlexW3198377268MaRDI QIDQ6195540

Rolando Magnanini, Giorgio Poggesi

Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02876

zbMATH Keywords

stabilityconstant mean curvaturequantitative estimatesSerrin's overdetermined problemAlexandrov's soap bubble theoreminterpolating estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (3)

Symmetry and quantitative stability for the parallel surface fractional torsion problem ⋮ Linear stability analysis of overdetermined problems with non-constant data ⋮ Partial differential equations from theory to applications: dedicated to Alberto Farina, on the occasion of his 50th birthday

Cites Work

• Unnamed Item
• Stability analysis of an overdetermined fourth order boundary value problem via an integral identity
• Approximate radial symmetry for overdetermined boundary value problems
• Elliptic partial differential equations of second order
• A Serrin-type problem with partial knowledge of the domain
• Quantitative stability estimates for a two-phase Serrin-type overdetermined problem
• The location of hot spots and other extremal points
• Nearly optimal stability for Serrin's problem and the soap bubble theorem
• On the stability for Alexandrov's soap bubble theorem
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• Linear stability estimates for Serrin's problem via a modified implicit function theorem
• Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities
• An Interpolating Inequality for Solutions of Uniformly Elliptic Equations
• Alexandrov, Serrin, Weinberger, Reilly: Simmetry and Stability by Integral Identities
• Radial symmetry forp-harmonic functions in exterior and punctured domains

This page was built for publication: Interpolating estimates with applications to some quantitative symmetry results