非齐次Schrödinger Kirchhoff方程在R3中的两个非平凡解  

Two Nontrivial Solutions for the Nonhomogenous Schrödinger-Kirchhoff Type Equation in R3

作　　者：许思诗 叶一蔚 XU Si-shi;YE Yi-wei(College of Mathematical Science,Chongqing Normal University,Shapingba401331,Chongqing)

机构地区：[1]重庆师范大学数学科学学院,重庆沙坪坝401331

出　　处：《商洛学院学报》2023年第6期32-36,共5页Journal of Shangluo University

基　　金：国家自然科学基金面上项目(11971393);重庆市教委科学技术研究项目(KJQN202200523)。

摘　　要：研究一类非齐次Schrödinger-Kirchhoff型问题,其中位势函数不满足强制性假设,并且非线性项不必满足Ambrosetti-Rabinowitz型超线性条件。利用Ekeland变分原理和山路引理证明了两个非平凡解的存在性,丰富和推广了已有结论。A class of nonhomogenous Schrödinger-Kirchhoff type equations is studied,where the potential is not coercive and the nonlinearity need not satisfy the Ambrosetti-Rabinowitz type superlinear condition.By using the Ekeland's variational princple and the Mountain Pass Theorem,the existence of two nontrivial solutions are obtained.The main results enrich and improve some known results in the literature.

关 键 词：非齐次Schrödinger-Kirchhoff型问题 EKELAND变分原理 山路引理 

分 类 号：O176.3[理学—数学]