DG-MP-PDE Seminar: Revisiting an idea of Brezis and Nirenberg

Usually, a nonlinear functional involving the Sobolev exponent does not satisfy the Palais-Smale condition. However, Brezis and Nirenberg showed that under a threshold , the minimax value is in fact a critical value. In this talk, we should extend this idea to the equation involving with the Hardy singular potential.