Weak Solutions for a System Involving Anisotropic $\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) $-Laplacian Operators

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-05-04 DOI:10.1007/s40995-024-01627-7

A. Razani, F. Safari, T. Soltani

引用次数: 0

Abstract

A system embracing the anisotropic $\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) $-Laplacian operators is studied. We prove the existence and multiplicity of positive weak solutions for the system, via the critical point theory.

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涉及各向异性 $$left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) $$ 的系统的弱解--拉普拉斯算子

我们研究了一个包含各向异性(\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) \)-拉普拉斯算子的系统。我们通过临界点理论证明了系统正弱解的存在性和多重性。

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

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences

Weak Solutions for a System Involving Anisotropic \(\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) \)-Laplacian Operators

Abstract