Uniqueness for the Brezis-Nirenberg type problems on spheres and hemispheres
arXiv:1906.09851
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.
44 pages