AN EXISTENCE RESULT FOR ELLIPTIC PROBLEMS WITH SINGULAR CRITICAL GROWTH

作者：Nasri Yasmina^*

来源：Electronic Journal of Differential Equations, 2007, 84.

• Palais-Smale condition
• singular potential
• Sobolev exponent
• mountain-pass theorem

We prove the existence of nontrivial solutions for the singular critical problem
-Delta u - mu u/vertical bar x vertical bar(2) = lambda f(x)u + u(2*-1)
with Dirichlet boundary conditions. Here the domain is a smooth bounded subset of R-N, N >= 3, and 2* = 2N/N-2 which is the critical Sobolev exponent.

• 出版日期2007