Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

Abstract

Abstract In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω ⊂ R N ( N ≥ 3 ) \Omega \subset {R}^{N}(N\ge 3) are proved by using the variational method and Pohozaev identity, respectively.