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