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Date Published: 30/06/2022
Online Published: 30/06/2022
Abstract Views: 215
Views PDF: 151
DOI: https://doi.org/10.54607/hcmue.js.19.7.3402(2022)
Issue
Vol. 19 No. 6 (2022)
Section
Natural Sciences and Technology
How to Cite
Đặng , T. T. T., & Phạm , L. T. N. (2022). A WEIGHTED LORENTZ ESTIMATE FOR DOUBLE-PHASE PROBLEMS. HCMUE Journal of Science, 19(6), 881. https://doi.org/10.54607/hcmue.js.19.7.3402(2022)

A WEIGHTED LORENTZ ESTIMATE FOR DOUBLE-PHASE PROBLEMS

Thị Thanh Trúc Đặng 1, , Lê Tuyết Nhi Phạm 1
1 Khoa Toán-Tin, trường Đại học Sư phạm Thành phố Hồ Chí Minh

Main Article Content

Abstract

Double-phase problems were modeled by minimizing the problems of a class of integral energy functionals with non-standard growth conditions. They have many applications in physics, such as nonlinear elasticity, fluid dynamics, and homogenization. The present paper provides a global gradient estimate for distribution solutions to double-phase problems in Lorentz spaces associated with a Muckenhoupt weight. In particular, this work is a weighted version of the main result found by Tran and Nguyen (2021). Our method is based on a construction of the weighted distribution inequality on fractional maximal operators, which have close relations to
Riesz potential. 

 

Keywords

distribution inequality, Double-phase problems, gradient estimates, weighted Lorentz spaces

Article Details

References

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