Special Issue in honor of John W. Neuberger. Electron. J. Diff. Eqns., Special Issue 02 (2023), pp. 109-124.

Resonant solutions for elliptic systems with Neumann boundary conditions

Briceyda B. Delgado, Rosa Pardo

Abstract:
We consider a sublinear perturbation of an elliptic eigenvalue system with homogeneous Neumann boundary conditions. For oscillatory nonlinearities and using bifurcation from infinity, we prove the existence of an unbounded sequence of turning points and an unbounded sequence of resonant solutions.

Published March 27, 2023.
Math Subject Classifications: 35J65, 35J61, 35J15.
Key Words: Bifurcation from infinity; nonlinear elliptic systems; Neumann boundary conditions; resonant solutions.
DOI: https://doi.org/10.58997/ejde.sp.02.d1

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Briceyda B. Delgado
Universidad Politécnica de Aguascalientes
Aguascalientes, Mexico
email: briceyda.delgado@upa.edu.mx
Rosa Pardo
Universidad Complutense de Madrid
Madrid, Spain
email: rpardo@ucm.es

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