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:
Northwest Univ Nationalities, Coll Math & Comp Sci, Lanzhou 730124, Peoples R China
Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R ChinaNorthwest Univ Nationalities, Coll Math & Comp Sci, Lanzhou 730124, Peoples R China
机构:
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Li, Jiameng
Chen, Huiwen
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机构:
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Chen, Huiwen
He, Zhimin
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机构:
Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
He, Zhimin
Ouyang, Zigen
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h-index: 0
机构:
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China