高师理科学刊2026，Vol.46Issue(5)：1-6,6.DOI:10.3969/j.issn.1007-9831.2026.05.001
一类含非Ambrosetti-Rabinowitz型非线性项的拟线性Schrödinger方程基态解的存在性
Existence of ground state solutions for a class of quasilinear Schrödinger equations with Non-Ambrosetti-Rabinowitz type nonlinearities
摘要
Abstract
A class of quasilinear Schrödinger equations with Non-Ambrosetti-Rabinowitz type nonlinearities is studied via the Nehari manifold method.The attainability of the minimizer for the corresponding constrained minimization variational problem in a bounded domain is established.By employing the minimizers from bounded domain problems as a minimizing sequence,the existence of a positive ground-state solution to the equation is proved.关键词
拟线性Schrödinger方程/非Ambrosetti-Rabinowitz型/Nehari流形/基态解Key words
quasilinear Schrödinger equation/Non-Ambrosetti-Rabinowitz type/Nehari manifold/ground state solution分类
数理科学引用本文复制引用
王得巧,李红珍,胡亭曦..一类含非Ambrosetti-Rabinowitz型非线性项的拟线性Schrödinger方程基态解的存在性[J].高师理科学刊,2026,46(5):1-6,6.基金项目
重庆市教委科学技术研究项目(KJQN202200515) （KJQN202200515）
