Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations

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• 作者：Yinbin Deng^a ; ^{ybdeng@mail.ccnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Shuangjie Peng^a ; ^{sjpeng@mail.ccnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Shusen Yan^b ; ^{syan@turing.une.edu.au" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J20 ; 35J62 ; 35Q55
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：260
• 期：2
• 页码：1228-1262
• 全文大小：436 K

文摘

This paper is concerned with the solitary wave solutions for a generalized quasilinear Schrödinger equation in R^N${\mathbb{R}}^N$ involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schrödinger equation and obtain its solitary wave solutions by using a change of variables and variational argument.