关于一类具有非局部项和对数非线性的基尔霍夫问题

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-07 DOI:10.1007/s11868-024-00624-z

El-Houari Hamza, Arhrrabi Elhoussain, J. Vanterler da da C. Sousa

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引用次数: 0

摘要

在本文中，我们通过山口定理、喷泉定理和双喷泉定理，研究了受迪里希特边界条件限制的非线性基尔霍夫（Kirchhoff）类问题，其中包含了非局部项和在（\phi \）-希尔费分式空间中的（\eta (\cdot )\ ）-拉普拉奇算子的对数非线性。

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On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity

In this present paper, we concern investigating nonlinear Kirchhoff-type problems subject to Dirichlet boundary conditions, incorporating nonlocal terms and logarithmic nonlinearity in the \(\phi \)-Hilfer fractional spaces with the \(\eta (\cdot )\)-Laplacian operator by means of the do Mountain Pass Theorem, Fountain Theorem and Dual Fountain Theorem.

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来源期刊

Journal of Pseudo-Differential Operators and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.20

自引率

9.10%

发文量

期刊介绍： The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.