A variational inequality involving nonlocal elliptic operators

详细信息    查看全文

• 作者：Mingqi Xiang
• 关键词：nonlocal elliptic operators ; penalization method ; Schauder’s fixed point theorem ; critical point theory
• 刊名：Fixed Point Theory and Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,627 KB
• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

In this paper, we study the existence of solutions to a variational inequality involving nonlocal elliptic operators, and the problem studied here is not variational in nature. The proof of the main result is based on Schauder’s fixed point theorem combined with adequate variational arguments and a penalization technique.