Higher integrability of iterated operators on differential forms. (November 2016)

• Record Type: Journal Article
• Authors: Ding, Shusen; Shi, Guannan; Xing, Yuming
• Is Part Of: Nonlinear analysis. Volume 145(2016)
• Page Start: 83
• Page End: 96
• Publication Date: 2016-11
• Subjects: primary 35J60 -- secondary 35B45 30C65 47J05 46E35; Higher integrability -- Green's and Dirac operators -- Iterated operators; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.07.012
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we first prove the local higher integrability and higher order imbedding theorems for the iterated operators defined on differential forms. Then, we prove the global higher integrability and higher order imbedding inequalities for these operators. Finally, we demonstrate applications of the main results by examples.