Infinitely many solutions to quasilinear Schrödinger system in

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• 作者：Caisheng Chen^a ; ^{cshengchen@hhu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Shuyan Fu^b
• 关键词：Quasilinear Schrö ; dinger system ; Mountain pass lemma ; (PS)(PS) condition
• 刊名：Computers & Mathematics with Applications
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：71
• 期：7
• 页码：1417-1424
• 全文大小：366 K

文摘

In this work, we study the existence of multiple solutions to the quasilinear Schrödinger system where science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0898122116300517&_mathId=si3.gif&_user=111111111&_pii=S0898122116300517&_rdoc=1&_issn=08981221&md5=a070cef2218660c5891d8e627b63a5f8" title="Click to view the MathML source">N≥3,1<p≤q≤N,λ,μ>0$N\ge 3,1<p\le q\le N,\lambda ,\mu >0$ and science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0898122116300517&_mathId=si4.gif&_user=111111111&_pii=S0898122116300517&_rdoc=1&_issn=08981221&md5=044df3b2410ef57f12e92c1ac9e548ce" title="Click to view the MathML source">m,d∈(q,p^∗),κ∈R$m,d\in (q,p^{\ast }),\kappa \in \mathbb{R}$. The potential functions science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0898122116300517&_mathId=si5.gif&_user=111111111&_pii=S0898122116300517&_rdoc=1&_issn=08981221&md5=ff43e2fbc1b6edf453b4914f7b57c2d4" title="Click to view the MathML source">a(x),b(x)∈L^∞(R^N)$a\left(x\right),b\left(x\right)\in L^{\infty }\left({\mathbb{R}}^N\right)$ are positive in science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0898122116300517&_mathId=si1.gif&_user=111111111&_pii=S0898122116300517&_rdoc=1&_issn=08981221&md5=48f4d5015ce89461634d68f0b278d1c4" title="Click to view the MathML source">R^N${\mathbb{R}}^N$. A major point is that we use the technique in Chen (2015) to verify the science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0898122116300517&_mathId=si7.gif&_user=111111111&_pii=S0898122116300517&_rdoc=1&_issn=08981221&md5=10201aa366dc2af4f9128b683cfe6ae7" title="Click to view the MathML source">(PS)$\left(PS\right)$ conditions and then apply a version of mountain pass lemma to prove the existence of infinitely many solutions of system (0.1).