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”.
- Gradient nonlinearity
- Nonlinear fourth order eigenvalue problem
ASJC Scopus subject areas
- Applied Mathematics
- Mathematical Physics