Multiplicity of Solutions for Nonlocal Elliptic System of (p, q)-Kirchhoff Type

作者：Cheng Bitao^*; Wu Xian; Liu Jun

来源：Abstract and Applied Analysis, 2011, 526026.

DOI：10.1155/2011/526026

This paper is concerned with the following nonlocal elliptic system of (p, q)-Kirchhoff type -[M(1)(integral(Omega)vertical bar del u vertical bar(p))](p-1) Delta(p)u = lambda F(u) (x, u, v), in Omega, -[M(2)(integral(Omega)vertical bar del v vertical bar(q))](q-1) Delta(q)v = lambda F(v) (x, u, v), in Omega, u = v = 0, on. partial derivative Omega. Under bounded condition on M and some novel and periodic condition on F, some new results of the existence of two solutions and three solutions of the above mentioned nonlocal elliptic system are obtained by means of Bonanno's multiple critical points theorems without the Palais-Smale condition and Ricceri's three critical points theorem, respectively.

• 出版日期2011
• 单位曲靖师范学院; 云南师范大学