Electron. J. Diff. Equ., Vol. 2016 (2016), No. 98, pp. 1-15.

Optimization problems involving the fractional Laplacian

Chong Qiu, Yisheng Huang, Yuying Zhou

Abstract:
In this article we study rearrangement optimization problems related to boundary-value problems involving the fractional Laplacian. We establish the existence and uniqueness of a solution under suitable assumptions.

Submitted January 17, 2016. Published April 19, 2016.
Math Subject Classifications: 49K30, 35A15, 47J30.
Key Words: Optimization; fractional Laplacian; rearrangements.

Show me the PDF file (264 KB), TEX file for this article.

Chong Qiu
Department of Mathematics
Taizhou University
Taizhou 225300, China
email: qchsuda@163.com
Yisheng Huang
Department of Mathematics
Soochow University
Suzhou 215006, China
email: yishengh@suda.edu.cn
Yuying Zhou
Department of Mathematics
Soochow University
Suzhou 215006, China
email: yuyingz@suda.edu.cn

Return to the EJDE web page