R. A. Amanov

On Harnack's Inequality and Interior Regularity for a Class of Nonuniformly Degenerated Elliptic Equations of Nondivergent Type

abstract:
Nonuniformly degenerating elliptic equations of nondivergent  type are considered. Harnack type inequalities and an a priori estimate of the Hölder norm are proved for positive solutions of such equations.

Mathematics Subject Classification: 35B05, 35B65

Key words and phrases: Harnack's inequality, interior regularity, nonuniformly degenerated elliptic equation