Quasilinear Elliptic Systems Involving Critical Hardy–Sobolev and Sobolev Exponents

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• 作者：Dongsheng Kang ; Yangguang Kang
• 关键词：Quasilinear elliptic system ; Positive solution ; Critical exponent ; Hardy inequality ; Variational method
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：1-17
• 全文大小：
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206
• 卷排序：40

文摘

In this paper, a system of quasilinear elliptic equations is investigated, which involves critical exponents and multiple Hardy-type terms. By variational methods and analytic techniques, the existence of positive solutions to the system is established. The conclusions are new even when the Hardy-type terms disappear.