MULTIPLE POSITIVE SOLUTIONS FOR BIHARMONIC EQUATION OF KIRCHHOFF TYPE INVOLVING CONCAVE-CONVEX NONLINEARITIES

被引：0
|
作者：
Meng, Fengjuan [1 ]
Zhang, Fubao [2 ]
Zhang, Yuanyuan [3 ]
机构：
[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[3] Jiangsu Univ Technol, Sch Business, Changzhou 213001, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年
关键词：
Biharmonic equation; ground state solution; Nehari manifold; concave-convex nonlinearity; 4TH-ORDER ELLIPTIC-EQUATIONS; NONTRIVIAL SOLUTIONS; EQUILIBRIUM POINTS; GLOBAL ATTRACTOR; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the multiplicity of positive solutions for the biharmonic equation of Kirchhoff type involving concave convex nonlinearities, Delta(2)u - (a + b integral N-R vertical bar del u vertical bar(2) dx) + Delta u + V(x)u = lambda f(1)(x)vertical bar u vertical bar(q-2)u + f(2)(x)vertical bar u vertical bar(p-2)u. Using the Nehari manifold, Ekeland variational principle, and the theory of Lagrange multipliers, we prove that there are at least two positive solutions, one of which is a positive ground state solution.
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页码：1 / 15
页数：15
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