A remark on the first p-buckling eigenvalue with an adhesive constraint

Yoshihisa Kaga, Shinya Okabe

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a fourth order nonlinear eigenvalue problem with an adhesive constraint. The problem is regarded as a generalization of the buckling eigenvalue problem with the clamped boundary condition. We prove the existence of the first eigenvalue of the problem and show that the corresponding eigenfunction does not have “flat core of adhesion type”.

Original languageEnglish
JournalMathematics In Engineering
Volume3
Issue number4
DOIs
Publication statusPublished - 2021

Keywords

  • Gradient nonlinearity
  • Nonlinear fourth order eigenvalue problem

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Analysis

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