具有对数扰动和多值对流的各向异性双相椭圆包体系统

IF 1.7 2区 数学 Q2 MATHEMATICS, APPLIED
Shengda Zeng, Yasi Lu, Vicenţiu D. Rădulescu
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引用次数: 0

摘要

本文研究了一类具有对数扰动的各向异性偏微分算子和两个完全耦合的多值项的变指数双相椭圆包涵系统,其中一个在定域上定义,另一个在边界上定义。首先,在适当的强制条件下,利用关于多值伪单调算子的满射定理,验证了双相椭圆包涵体系弱解的存在性。然后,在非强制框架下考虑椭圆包涵体系时,利用次超解方法建立了其存在性和紧性结果。最后,通过构造适当的子解和超解,给出了所考虑的椭圆包体体系的一些特殊情况的几个可解性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections

In this paper, we investigate a class of variable exponent double phase elliptic inclusion systems involving anisotropic partial differential operators with logarithmic perturbation as well as two fully coupled multivalued terms, one of them is defined in the domain and the other is defined on the boundary, respectively. Firstly, under the suitable coercive conditions, the existence of a weak solution for the double phase elliptic inclusion systems is verified via applying a surjectivity theorem concerning multivalued pseudomonotone operators. Then, when the elliptic inclusion system is considered in non-coercive framework, we employ the sub-supersolution method to establish the existence and compactness results. Finally, we deliver several solvability properties of some special cases with respect to the elliptic inclusion system under consideration via constructing proper sub- and super-solutions.

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来源期刊
CiteScore
3.30
自引率
5.60%
发文量
103
审稿时长
>12 weeks
期刊介绍: The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering.
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