Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations
The authors prove weighted Poincaré inequalities associated with a family of vector fields satisfying an Hörmander rank condition for any exponent \(p\) greater or equal 1. Applications to relative isoperimetric inequality and to local regularity for a class of degenerate elliptic equations with measurable coefficients are given.
degenerate elliptic equations with measurable coefficients are given
scientific article; zbMATH DE number 819160
scientific article