Linear stability estimates for Serrin's problem via a modified implicit function theorem

DOI10.1007/s00526-021-02107-1zbMath1478.35153arXiv2103.07072OpenAlexW3207240822WikidataQ115386347 ScholiaQ115386347MaRDI QIDQ2667161

Alexandra Gilsbach, Michiaki Onodera

Publication date: 24 November 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07072

zbMATH Keywords

nonlinear problems with loss of derivativesperturbation of the constant Neumann boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (6)

Stability analysis of an overdetermined fourth order boundary value problem via an integral identity ⋮ Quantitative stability estimates for a two-phase Serrin-type overdetermined problem ⋮ Nondegeneracy implies the existence of parametrized families of free boundaries ⋮ Interpolating estimates with applications to some quantitative symmetry results ⋮ Linear stability analysis of overdetermined problems with non-constant data ⋮ Existence and stability of solutions for a fourth order overdetermined problem

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