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Date Published: 23/09/2021
Online Published: 23/09/2021
Abstract Views: 242
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DOI: https://doi.org/10.54607/hcmue.js.18.9.3130(2021)
Issue
Vol. 18 No. 9 (2021): (English)
Section
Natural Sciences and Technology
How to Cite
Trần , Q. V. (2021). A WEIGHTED APPROACH FOR CACCIOPOLI INEQUALITY FOR SOLUTIONS TO P-LAPLACE EQUATIONS. HCMUE Journal of Science, 18(9), 1603. https://doi.org/10.54607/hcmue.js.18.9.3130(2021)

A WEIGHTED APPROACH FOR CACCIOPOLI INEQUALITY FOR SOLUTIONS TO P-LAPLACE EQUATIONS

Quang Vinh Trần

Main Article Content

Abstract

 

Weighted fractional Sobolev spaces have many applications in partial differential equations. In this paper, we study a class of weighted fractional Sobolev spaces, where the weights are the distance functions to the boundary of the defined domain. This class has been used to obtain a weighted Cacciopoli-type inequality for solutions to p-Laplace equations with measure data. Our result expands to the Cacciopoli inequality in a recent paper by Tran and Nguyen (2021b).

 

Keywords

Cacciopoli-type inequality, partial differential equations, p-Laplace equations, weighted fractional Sobolev spaces

Article Details

Author Biography

Quang Vinh Trần,

Sinh viên tại khoa Toán-Tin trường Đại học Sư phạm Thành phố Hồ Chí Minh

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