一类带变号权 Kirchhoff-Poisson 系统非平凡解的存在性

Existence of Nontrivial Solution for a Class of Kirchhoff-Poisson System withSign-Changing Weight

应用山路引理, 本文研究 Kirchhoff-Poisson 系统,非平凡解的存在性, 其中 a, b > 0, 3 3, R) 且 lim▕x▕→∞P (x) = P∞3, R) 且 K(x) ∈ L2(R3).

By using mountain pass theorem, we are concerned with the existence of nontrivial solution of Kirchhoff-Poisson system in this paper: ,where a, b > 0, 3 3) is a sign-changing function with lim▕x▕→∞P (x) = P∞3, R) 且 K(x) ∈ L2(R3).