MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS SCHRODINGER-POISSON EQUATIONS WITH SIGN-CHANGING POTENTIAL

作者：Wang, Lixia^*; Ma, Shiwang; Xu, Na

来源：Acta Mathematica Scientia, 2017, 37(2): 555-572.

• Nonhomogeneous
• sign -changing potential
• Schrodinger-Poisson equations
• Eke land's variational principle
• Mountain Pass Theorem

In this article, we study the following nonhomogeneous Schrodinger-Poisson equations @@@ {integral-Delta u +lambda V(x)u + K (x)phi u = f (x, u) + g(x), x is an element of R-3, -Delta phi = K(x)u(2,) x is an element of R-3, where lambda > 0 is a parameter. Under some suitable assumptions on V,K,f and g, the existence of multiple solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. In particular, the potential V is allowed to be sign changing.

• 出版日期2017-3
• 单位天津大学; 天津城建大学; 南开大学; 天津职业技术师范大学