Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

Behrouz Emamizadeh, Yichen Liu*, Giovanni Porru

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We investigate overdetermined problems for p-Laplace and generalized Monge–Ampére equations. By using the theory of domain derivative, we find duality results and characterization of the overdetermined boundary conditions via minimization of suitable functionals with respect to the domain.

Original languageEnglish
Pages (from-to)807-821
Number of pages15
JournalComplex Variables and Elliptic Equations
Volume67
Issue number4
DOIs
Publication statusPublished - 3 Apr 2022

Keywords

  • 35A23
  • 35J96
  • 35N25
  • 47J20
  • 52A40
  • Overdetermined problems
  • domain derivative
  • domain functionals
  • duality results
  • generalized Monge–Ampére equations
  • p-Laplace equations
  • generalized Monge-Ampere equations

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