Infinitely many sign-changing solutions to some quasilinear equation involving exponential term

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• 作者：Sami Aouaoui ^{samiaouaoui@yahoo.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35A25 ; 35D30 ; 35J35 ; 35J62 ; 35J70
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：146
• 期：Complete
• 页码：136-160
• 全文大小：701 K

文摘

In this paper, we prove the existence of infinitely many sign-changing solutions to some quasilinear and elliptic equation whose divergence part contains exponential term. Our main idea consists of the use of the perturbation method together with invariant sets of descending flow in the framework of classical critical point theory.