一类k-Hessian方程爆破解的存在性和不存在性

doi:10.6040/j.issn.1671-9352.0.2021.502

《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (3): 62-67.doi: 10.6040/j.issn.1671-9352.0.2021.502

• • 上一篇

一类k-Hessian方程爆破解的存在性和不存在性

段对花,高承华^*,王晶晶

西北师范大学数学与统计学院, 甘肃兰州 730070

发布日期:2022-03-15
作者简介:段对花(1995— ),女,硕士研究生,研究方向为常微分方程与动力系统. E-mail:duanduihua@163.com*通信作者简介:高承华(1984— ),男,博士,教授,研究方向为常微分方程与动力系统. E-mail:gaokuguo@163.com
基金资助:
国家自然科学基金资助项目(11961060);甘肃省自然科学基金资助项目(18JR3RA084);西北师范大学研究生科研资助项目(2020KYZZ001108);甘肃省教育厅:优秀研究生“创新之星”项目(2021CXZX-261)

Existence and nonexistence of blow-up solutions for a general k-Hessian equation

DUAN Dui-hua, GAO Cheng-hua^*, WANG Jing-jing

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Published:2022-03-15

摘要/Abstract

摘要： 运用单调迭代方法,在非线性项满足适当的增长条件下研究一类k-Hessian方程爆破解的存在性和不存在性,并得到了一些有趣的结果。

关键词: 单调迭代法, k-Hessian方程, 爆破解, 存在性和不存在性

Abstract: By applying the monotone iterative method,the existence and nonexistence of blow-up solutions for a general k-Hessian equation are studied under proper growth conditions of nonlinear term, and some interesting results are obtained.

Key words: monotone iterative method, k-Hessian equation, blow-up solutions, existence and nonexistence

中图分类号:

O175.8

段对花,高承华,王晶晶. 一类k-Hessian方程爆破解的存在性和不存在性[J]. 《山东大学学报(理学版)》, 2022, 57(3): 62-67.

DUAN Dui-hua, GAO Cheng-hua, WANG Jing-jing. Existence and nonexistence of blow-up solutions for a general k-Hessian equation[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(3): 62-67.

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一类k-Hessian方程爆破解的存在性和不存在性

Existence and nonexistence of blow-up solutions for a general k-Hessian equation

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