Electron. J. Diff. Equ., Vol. 2014 (2014), No. 107, pp. 1-12.

Existence of multiple solutions to elliptic problems of Kirchhoff type with critical exponential growth

Sami Aouaoui

Abstract:
In this article, we study elliptic problems of Kirchhoff type in dimension $ N \geq 2$, whose nonlinear term has a critical exponential growth. Using variational tools, we establish the existence of at least two nontrivial and nonnegative solutions.

Submitted December 10, 2013. Published April 15, 2014.
Math Subject Classifications: 35D30, 35J20, 35J61, 58E05.
Key Words: Trudinger-Moser inequality; exponential growth; Kirchhoff equation; critical point; energy functional; Ekeland's lemma; Mountain Pass Theorem.

Show me the PDF file (244 KB), TEX file, and other files for this article.

Sami Aouaoui
Institut Supérieur des Mathématiques Appliquées et de l'Informatique de Kairouan
Avenue Assad Iben Fourat, 3100 Kairouan, Tunisie
email: aouaouisami@yahoo.fr
Phone +216 77 226 575, Fax +216 77 226 575

Return to the EJDE web page