Existence of ground state solutions to Dirac equations with vanishing potentials at infinity

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• 作者：Giovany M. Figueiredo^a ; ¹ ; ^{giovany@ufpa.br" class="auth_mail" title="E-mail the corresponding author} ; Marcos T.O. Pimenta^b ; ² ; ^{pimenta@fct.unesp.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J20 ; 35JXX
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：5 January 2017
• 年：2017
• 卷：262
• 期：1
• 页码：486-505
• 全文大小：312 K

文摘

In this work we study the existence of ground-state solutions of Dirac equations with potentials which are allowed to vanish at infinity. The approach is based on minimization of the energy functional over a generalized Nehari set. Some conditions on the potentials are given in order to overcome the lack of compactness.