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.
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
机构:
Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R ChinaXinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China
Xue, Yan-fang
Han, Jian-xin
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机构:
Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R ChinaXinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China
Han, Jian-xin
Zhu, Xin-cai
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机构:
Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R ChinaXinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China
机构:
Fujian Normal Univ, Sch Math & Stat, Fuzhou 350117, Peoples R China
FJKLMAA & Ctr Appl Math Fujian Prov FJNU, Fuzhou 350117, Peoples R ChinaFujian Normal Univ, Sch Math & Stat, Fuzhou 350117, Peoples R China
Chen, Jianqing
Zhang, Qian
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机构:
Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaFujian Normal Univ, Sch Math & Stat, Fuzhou 350117, Peoples R China