Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 28, pp. 1-10.

Title: Existence of solutions for cross critical exponential N-Laplacian systems

Author: Xiaozhi Wang (Univ. of Shanghai for Science and Tech., Shanghai, China)
 
Abstract:
 In this article we consider cross critical exponential
 N-Laplacian systems. Using an energy estimate on a bounded
 set and the Ekeland variational principle, we prove the existence of a
 nontrivial weak solution, for a parameter large enough.

Submitted October 26, 2013. Published January 15, 2014.
Math Subject Classifications: 35J50, 35B33.
Key Words: N-Laplacian system; critical exponential growth;
           Ekeland variational principle.