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.

引用

页码：1 / 15

页数：15

共 35 条

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