A note on Morrey-type inequality for functions of mean value zero

Authors: Nguyen Van Thanh; Nguyen Huu Thuan; Nguyen Dang Thanh Giang; Do Phuong Oanh; Nguyen Thi Ha Tien; Doan Khanh Duy
Journal: Quy Nhon University Journal of Science
Published: 2022/10/28
Volume/Issue: Vol. 16, Issue 5
Pages: 49-53
DOI: https://doi.org/10.52111/qnjs.2022.16504

Abstract

In the present article, we study a Morrey-type inequality for Sobolev functions of mean value zero. The constant in our paper is smaller than the existing one in the literature. Then we study further an application of the Morrey-type inequality for the weak convergence of solutions to p -Laplace equations with a Neumann boundary condition as

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