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arXiv · 2106.15511

Parametric superlinear double phase problems with singular term and critical growth on the boundary

Ángel Crespo-Blanco·Nikolaos S. Papageorgiou·Patrick Winkert
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Abstract

In this paper we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth. Based on a new equivalent norm for Musielak-Orlicz Sobolev spaces and the Nehari manifold along with the fibering method we prove the existence of at least two weak solutions provided the parameter is sufficiently small.

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Ángel Crespo-Blanco, Nikolaos S. Papageorgiou, Patrick Winkert. 2021-06-29. Parametric superlinear double phase problems with singular term and critical growth on the boundary. https://doi.org/10.1002/mma.7924

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