Existence and Multiplicity of Standing Wave Solutions for a Class of Quasilinear Schrödinger Systems in ℝN View Full Text


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Article Info

DATE

2019-01

AUTHORS

Hongxue Song, Caisheng Chen, Wei Liu

ABSTRACT

In this paper, we study the following quasilinear Schrödinger systems of the form 0.1−△puj+aj(x)|uj|p−2uj−△p(|uj|2)uj=μj|uj|q−2uj+12∑i≠jβij|ui|m|uj|m−2uj,x∈ℝN,uj(x)→0,as|x|→∞,j=1,⋯,k, where N ≥ 3, 2 ≤ p ≤ N, and the potential aj(x) is positive and bounded in ℝN, μj > 0, βij = βji for 1 ≤ i < j ≤ k(k ≥ 2). Using symmetric mountain pass lemma, we obtain infinitely many solutions to Schrödinger system (0.1). More... »

PAGES

1-16

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http://scigraph.springernature.com/pub.10.1007/s10883-018-9399-6

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http://dx.doi.org/10.1007/s10883-018-9399-6

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