Title of article :
Poincaré-type inequalities for the homotopy operator with Lφ(Ω)Lφ(Ω)-norms
Author/Authors :
Shusen Ding، نويسنده , , Jianmin Zhu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
We obtain Poincaré-type inequalities for the homotopy operator applied to differential forms in Lφ(m)Lφ(m)-averaging domains, which can be used to estimate the norms of operators and the integral properties of differential forms.
Keywords :
Poincaré inequality , The AA-harmonic equation and differential forms
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications