湖北文理学院学报2026，Vol.47Issue(5)：12-19,8.
涉及参数势的拟线性薛定谔方程的基态解
Gound States of a Class of Quasilinear Schrödinger Equations Involving Parametric Potential
摘要
Abstract
This paper studies a class of quasilinear Schrödinger equations involving parametric potential:-Δu+λV(x)u+K/2 Δ(u2)u=f(x,u),x∈RN Where N≥3,λ＞0 and K＞0 are all real parameters,and f is a continuous function.When|u|→∞,f satisfies the superlinear(subcritical)conditions at the origin with respect to u Moreover,under the given appropriate potential function V by using the variational method,the Mountain Pass Lemma and L∞ estimates,we proves the existence of ground state solutions for the above mentioned equation for the parameter λ＞0 sufficiently large.关键词
拟线性薛定谔方程/参数势/基态解Key words
quasilinear schrödinger equation/parameter potential/ground states分类
数理科学引用本文复制引用
李艳星,丁凌..涉及参数势的拟线性薛定谔方程的基态解[J].湖北文理学院学报,2026,47(5):12-19,8.基金项目
国家自然科学基金项目(12426527) （12426527）
湖北省教育厅中青年科学技术创新团队项目(T2022029) （T2022029）
湖北文理学院教师科研能力培育基金"国家自科基金课题培育项目"(2024pygpzk02) （2024pygpzk02）
