吉林大学学报(理学版)2025,Vol.63Issue(6):1549-1556,8.DOI:10.13413/j.cnki.jdxblxb.2025079
变指数Kirchhoff方程Neumann问题的非平凡解
Nontrivial Solutions for Neumann Problem of Kirchhoff Equation with Variable Exponent
摘要
Abstract
By using the local linking theorem in critical point theory and the theory of variable exponent Sobolev space,the author proved the existence of nontrivial solutions for Kirchhoff-type equation with p(x)-Laplacian operator without assuming the(AR)type superlinearity condition held.关键词
Kirchhoff型方程/p(x)-Laplace算子/局部环绕/非平凡解/临界点Key words
Kirchhoff-type equation/p(x)-Laplacian operator/local linking/nontrivial solution/critical point分类
数理科学引用本文复制引用
张申贵..变指数Kirchhoff方程Neumann问题的非平凡解[J].吉林大学学报(理学版),2025,63(6):1549-1556,8.基金项目
国家自然科学基金(批准号:12361047)和2024年度中央高校基本科研业务费项目(批准号:31920240091). (批准号:12361047)