Research in the field of inequalities and differential equations on Lie groups and manifolds has steadily evolved, bridging classical analysis with modern geometric methods. At its core, the subject ...

Abstract In 1957, De Giorgi proved the Hölder continuity for elliptic equations in divergence form and Moser gave a new proof in 1960. In the next year, Moser obtained the Harnack inequality. In this ...

This is a preview. Log in through your library . Abstract We prove a boundary Harnack type inequality for nonnegative solutions to singular equations of p-parabolic type, 2n/(n + 1) < p < 2, in a time ...