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1. Uniqueness for the Brezis–Nirenberg Type Problems on Spheres and Hemispheres.

Author

Abreu, Emerson, Barbosa, Ezequiel, and Ramirez, Joel

Abstract

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

Published
2025
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