四阶椭圆型问题正解的存在性与不存在性

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-08-06 DOI:10.58997/ejde.2023.52

Meiqiang Feng, Haiping Chen

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引用次数: 0

摘要

研究了一类带和不带特征值参数的四阶椭圆型问题。在涉及相应线性问题主特征值的次线性条件下，建立了正解的存在性和不存在性的新判据。有趣的是非线性项\(f\)明确地包含在二阶导数中。欲了解更多信息，请参阅https://ejde.math.txstate.edu/Volumes/2023/52/abstr.html

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Existence and nonexistence of positive solutions for fourth-order elliptic problems

This article studies a fourth-order elliptic problem with and without an eigenvalue parameter. New criteria for the existence and nonexistence of positive solution are established under some sublinear conditions which involve the principal eigenvalues of the corresponding linear problems. The interesting point is that the nonlinear term \(f\) is involved in the second-order derivative explicitly. For more information see https://ejde.math.txstate.edu/Volumes/2023/52/abstr.html

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.