Abstract
We study the eigenvalue problem for a superlinear convolution operator in the special case of bilinear constitutive laws and establish the existence and uniqueness of a one-parameter family of nonlinear eigenfunctions under a topological shape constraint. Our proof uses a nonlinear change of scalar parameters and applies Krein-Rutmann arguments to a linear substitute problem. We also present numerical simulations and discuss the asymptotics of two limiting cases.
Original language | English |
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Journal | Journal of Nonlinear Science |
Publication status | Acceptance date - 29 Dec 2020 |
Keywords
- math.AP
- nlin.PS