广西师范大学学报（自然科学版）2025，Vol.43Issue(3)：106-112,7.DOI:10.16088/j.issn.1001-6600.2024041206
一类非线性p-Laplace方程正规化解的存在性
Existence of Normalized Solutions for a Class of Nonlinear p-Laplace Equations
摘要
Abstract
The existence of positive normalized solutions for a class of Schrödinger equations with a perturbation for the mass supercritical case(that is,p+p2/N<q<p∗)is discussed.Firstly,by constructing an appropriate auxiliary function,it is proved that the energy functional possesses a mountain-pass geometrical structure on the constraint space.Then,the existence of a mountain pass solution with positive energy is established when ‖h‖W1,p is sufficiently small.关键词
p-Laplace方程/山路引理/Palais-Smale条件/正规化解/Pohozaev流形Key words
p-Laplace equation/mountain-pass theorem/Palais-Smale condition/normalized solution/Pohozaev manifold分类
数学引用本文复制引用
郭新新,钟延生..一类非线性p-Laplace方程正规化解的存在性[J].广西师范大学学报（自然科学版）,2025,43(3):106-112,7.基金项目
国家自然科学基金(11671085) （11671085）
福建省自然科学基金(2024J01479) （2024J01479）
