The fractional Hartree equation without the Ambrosetti-Rabinowitz condition

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• 作者：Mauro Francesconi ^{mauro.francesconi@dmi.unipg.it" class="auth_mail" title="E-mail the corresponding author} ; Dimitri Mugnai ; ^{dimitri.mugnai@unipg.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Pseudo-relativistic Hartree equation ; Superlinear reaction ; Ambrosetti&ndash ; Rabinowitz condition
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：Complete
• 页码：363-375
• 全文大小：633 K

文摘

We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti–Rabinowitz condition. Using variational methods based on critical point theory, we show the existence of two non trivial signed solutions, one positive and one negative.