Weighted Caccioppoli-type Estimates and Weak Reverse Hölder Inequalities for A-harmonic Tensors

Ar(λ)-WEIGHTED CACCIOPPOLI-TYPE AND POINCARÉ-TYPE INEQUALITIES FOR A-HARMONIC TENSORS

The Reverse Hölder Inequality for the Solution to p-Harmonic Type System

Recently, amount of work about the A-harmonic equation for the differential forms has been done. In fact, the A-harmonic equation is an important generalization of the p-harmonic equation in R, p > 1, and the p-harmonic equation is a natural extension of the usual Laplace equation see 1 for the details . The reverse Hölder inequalities have been widely studied and frequently used in analysis an...

Global Caccioppoli-Type and Poincaré Inequalities with Orlicz Norms

The L-theory of solutions of the homogeneous A-harmonic equation d A x, dω 0 for differential forms has been very well developed in recent years. Many L-norm estimates and inequalities, including the Hardy-Littlewood inequalities, Poincaré inequalities, Caccioppoli-type estimates, and Sobolev imbedding inequalities, for solutions of the homogeneous A-harmonic equation have been established; see...

Hardy-Littlewood and Caccioppoli-Type Inequalities for A-Harmonic Tensors

Weak reverse Hölder inequality of weakly A-harmonic sensors and Hölder continuity of A-harmonic sensors

* Correspondence: [email protected]. cn Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China Abstract In this paper, we obtain the weak reverse Hölder inequality of weakly A-harmonic sensors and establish the Hölder continuity of A-harmonic sensors. Mathematics Subject Classification 2010: 58A10 · 35J60