I will present some results concerning existence of positive solutions to some elliptic problems with oscillatory nonlinearities, either at the interior or at the boundary. We present suficient conditions for a bifurcation from infinity phenomenon, and we prove the existence of infinitely many resonant solutions, of infinitely many stable solutions, of infinitely many unstable solutions, and of infinitely many turning points.
On oscillatory nonlinearities in different elliptic equations
Prof. Rosa Pardo, Universidad Complutense de MadridAuthors: B. Delgado, M. Chetri, N. Mavinga, R. Pardo
2022 AWM Research Symposium
Advances in Nonlinear Partial Differential Equations