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On the stability of k-Hessian overdetermined and partially overdetermined problems in planar domain

  • Lingling Zhao ORCID logo and Fengquan Li ORCID logo EMAIL logo
Published/Copyright: February 20, 2020

Abstract

In this paper, we study the stability of k-Hessian overdetermined problems under small perturbations in R2. Additionally, we give a proof for k-Hessian partially overdetermined problems and the related stability problems in R2. The proof mainly replies to choosing a suitable auxiliary f.

MSC 2010: 35J25; 35B35

Award Identifier / Grant number: 11571057

Funding statement: This work was partly supported by NSFC (No. 11571057).

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Received: 2019-04-21
Revised: 2019-10-07
Accepted: 2020-02-03
Published Online: 2020-02-20
Published in Print: 2020-03-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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