Electron. J. Diff. Equ., Vol. 2014 (2014), No. 28, pp. 1-10.

Existence of solutions for cross critical exponential N-Laplacian systems

Xiaozhi Wang

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.

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Xiaozhi Wang
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: yuanshenran@yeah.net

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