MULTIPLICITY RESULT FOR SOME DEGENERATE ELLIPTIC PROBLEM INVOLVING CRITICAL EXPONENTIAL GROWTH IN R-N

摘要

In this paper, we study some nonhomogeneous degenerate elliptic equation in dimension N, N >= 3 with nonlinearity term having an exponential growth and does not satisfy the Ambrosetti-Rabinowitz (AR) condition. Using a variational tools, we establish the existence of at least two positive solutions.