Necessary and sufficient conditions for the existence of entire subsolutions to p-k-Hessian equations

被引：10
作者：
Zhang, Xuemei [1 ]
Yang, Yuyao [1 ]
机构：
[1] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 233卷
基金：
北京市自然科学基金;
关键词：
p-k-Hessian equation; Entire subsolution; Existence; Euler's break line and mathematical; induction method; BLOW-UP SOLUTIONS; MONGE-AMPERE EQUATIONS; BOUNDARY; NONEXISTENCE; BEHAVIOR;
D O I：
10.1016/j.na.2023.113299
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we intend to analyze the existence of entire subsolutions to the p -k-Hessian equation1 Sk (& lambda;((Di(|Du|p-2Dju)) + & alpha;|Du|& beta;(p-1)I)) = f(u), x & ISIN; Rn, k where ,3 = 0 or 1, p & GE; 2 and & alpha; & GE; 0 is a constant. The necessary and sufficient conditions on f for the existence of entire subsolutions are established. Since ,3 = 0 or 1 and & alpha; & GE; 0 not & alpha; & EQUIV; 0, it is very difficult to judge the sign of second order derivative. We will overcome the difficulty by introducing a new technique.& COPY; 2023 Elsevier Ltd. All rights reserved.
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页数：23
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