Multiple nontrivial solutions for a Kirchhoff-type transmission problem in R3 with concave–convex nonlinearities

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-27 DOI:10.1016/j.nonrwa.2025.104377

Yuan Gao , Lishan Liu , Na Wei , Yonghong Wu

引用次数: 0

Abstract

In this paper, by using the fibering map and constrained minimization on the Nehari manifold, we obtain that the Kirchhoff-type transmission problem in

R^{3}

with concave-convex nonlinearities has at least two nontrivial solutions.

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具有凹凸非线性的R3中kirchhoff型传输问题的多重非平凡解

本文利用Nehari流形上的纤维映射和约束最小化，得到了具有凹凸非线性的R3中的kirchhoff型传输问题至少有两个非平凡解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.