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

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

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.

Bibliographic Details
Main Author: Sami Aouaoui
Format: Article
Language:English
Published: Texas State University 2014-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Trudinger-Moser inequality
exponential growth
Kirchhoff equation
critical point
energy functional
Ekeland's lemma
Mountain Pass Theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2014/107/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2014/107/abstr.html

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