论带梯度项的非线性 k-Hessian 系统径向解的存在性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED Nonlinear Analysis-Real World Applications Pub Date : 2024-11-09 DOI:10.1016/j.nonrwa.2024.104255

Guotao Wang , Zhuobin Zhang , Bashir Ahmad

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引用次数: 0

摘要

本文用单调迭代法研究了一个带梯度项的非线性 k-Hessian 系统。我们得到了整个正径向解的存在性准则。在有限情况下，给出了全正有界径向解的估计。在无限情况下，也给出了整个正吹胀径向解的存在性。最后，给出了两个例子来演示所获结果的应用。

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On the existence of radial solutions to a nonlinear k-Hessian system with gradient term

This paper investigates a nonlinear

k

-Hessian system with gradient term by the monotone iterative method. We obtain the existence criteria for the entire positive radial solution. The estimation of the entire positive bounded radial solution is given in the finite case. The existence of the entire positive blow-up radial solution is also presented in the infinite case. Finally, two examples are given to demonstrate the application of the obtained results.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.