数学物理学报 ›› 2021, Vol. 41 ›› Issue (6): 1779-1790.

• 论文 • 上一篇    下一篇

一类带有变指数增长的半线性椭圆方程正解的存在性

储昌木*(),蒙璐   

  1. 贵州民族大学数据科学与信息工程学院 贵阳 550025
  • 收稿日期:2020-10-28 出版日期:2021-12-26 发布日期:2021-12-02
  • 通讯作者: 储昌木 E-mail:gzmychuchangmu@sina.com
  • 基金资助:
    国家自然科学基金(11861021);国家自然科学基金(11861052)

Existence of Positive Solutions for Semilinear Elliptic Equation with Variable Exponent

Changmu Chu*(),Lu Meng   

  1. School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025
  • Received:2020-10-28 Online:2021-12-26 Published:2021-12-02
  • Contact: Changmu Chu E-mail:gzmychuchangmu@sina.com
  • Supported by:
    the NSFC(11861021);the NSFC(11861052)

摘要:

该文主要研究非线性项涉及局部线性增长的变指数半线性椭圆方程.利用扰动技术、变分方法和先验估计,获得了该问题正解的存在性.

关键词: 半线性椭圆方程, 变指数, 变分方法, 先验估计, 正解

Abstract:

This paper is devoted to study a class of semilinear elliptic equation with variable exponent. By means of perturbation technique, variational methods and a priori estimation, the existence of positive solutions to this problem is obtain.

Key words: Semilinear elliptic equation, Variable exponent, Variational methods, Priori estimate, Positive solution

中图分类号: 

  • O175.2