Multiple entire solutions of elliptic equations involving critical exponent

Abstract

In this paper, we propose to consider the Dirichlet problem of elliptic equations involving critical exponent in unbounded domain R^N:

where Q(X) is a positive continuous function in R^N. We will prove that there exist two pairs of nonirLmal solutions for the equation (∗)

Keywords:

• Multiple
• elliptic
• critical exponent

AMS(MOS):

• 35J65
• 35A25