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arXiv · 1906.09851

Uniqueness for the Brezis-Nirenberg type problems on spheres and hemispheres

Emerson Abreu·Ezequiel Barbosa·Joel Ramirez
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Abstract

In this work, we develop a study involving some nonlinear partial differential equations on spheres and hemispheres, with the zero Neumann boundary condition, which are so-called Brezis-Nirenberg type problems, and we give conditions on which such equations have only constant solutions. We also extend these results for some nonlinear partial differential systems.

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Emerson Abreu, Ezequiel Barbosa, Joel Ramirez. 2019-06-24. Uniqueness for the Brezis-Nirenberg type problems on spheres and hemispheres. https://arxiv.org/abs/1906.09851

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