Optimization of the principal eigenvalue of the pseudo p-Laplacian operator with robin boundary conditions

B. Emamizadeh, M. Zivari-Rezapour

Research output: Journal PublicationArticlepeer-review

3 Citations (Scopus)

Abstract

This paper is concerned with an optimization problem related to the pseudo p-Laplacian eigenproblem, with Robin boundary conditions. The principal eigenvalue is minimized over a rearrangement class generated by a fixed positive function. Existence and optimality condition are proved. The popular case where the generator is a characteristic function is also considered. In this case the method of domain derivative is used to capture qualitative features of the optimal solutions.

Original languageEnglish
Article number1250127
JournalInternational Journal of Mathematics
Volume23
Issue number12
DOIs
Publication statusPublished - Dec 2012
Externally publishedYes

Keywords

  • 35J25
  • 49K30
  • 74K15
  • domain derivative 47A75
  • existence
  • optimal condition
  • optimization
  • Pseudo p-Laplacian operator
  • rearrangement

ASJC Scopus subject areas

  • Mathematics (all)

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