The effect of a perturbation on Brezis-Nirenberg’s problem
The effect of a perturbation on Brezis-Nirenberg’s problem
In this article, we consider some critical Brézis-Nirenberg problems in dimension $N \geq 3$ that do not have a solution. We prove that a supercritical perturbation can lead to the existence of a positive solution. More precisely, we consider the equation: \begin{equation*} \left\{ \begin{array}{rllll} -\Delta u & = & \lambda …