Least action nodal solutions for a quasilinear defocusing Schrodinger equation with supercritical nonlinearity

被引:19
|
作者
Yang, Minbo [1 ]
Santos, Carlos Alberto [2 ]
Zhou, Jiazheng [2 ]
机构
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
关键词
Quasilinear Schrodinger equation; least energy nodal solutions; supercritical growth; SIGN-CHANGING SOLUTIONS; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS;
D O I
10.1142/S0219199718500268
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the existence of least action nodal solutions for the quasilinear defocusing Schrodinger equation in H-1(R-N): -Delta u vertical bar k/2u Delta u2 vertical bar V(x)u = g(u)vertical bar lambda vertical bar u vertical bar(p-2)u, where N >= 3, V (x) is a positive continuous potential, g(u) is of subcritical growth, p >= 2* = 2N/(N - 2) and lambda, k are two non- negative parameters. By considering a minimizing problem restricted on a partial Nehari manifold, we prove the existence of least action nodal solution via deformation flow arguments and L-infinity-estimates.
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页数:23
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