Prof. Rosa Pardo, Universidad Complutense de Madrid
Authors: B. Delgado, M. Chetri, N. Mavinga, R. Pardo
2022 AWM Research Symposium
Advances in Nonlinear Partial Differential Equations

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.

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