Sami Aouaoui
Abstract:
In this article, we study elliptic problems of Kirchhoff type in
dimension
,
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.
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