The semilinear elliptic equations with double weighted critical exponents
题目：The semilinear elliptic equations with double weighted critical exponents.
简介：In this paper, we focus on the equation with double weighted critical exponents, including Hardy–Sobolev, Sobolev, and Hénon–Sobolev critical exponents. Applying the Nehari manifold and the mountain pass theorem, we prove the existence of the ground state solutions for the equation in RN. Based on this fact, the positive solutions of the equation on the unit ball in RN are established.