The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …

A variational principle is applied to examine a Muckenhoupt weighted p (·)-Laplacian
equation on the Heisenberg groups. The existence of at least one positive radial solution to …

We characterize intrinsic Lipschitz functions as maps which can be approximated by a
sequence of smooth maps, with pointwise convergent intrinsic gradient. We also provide an …

Minimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of
a Riemannian approximation scheme, as limit of Riemannian minimal surfaces. We study …

We carry out the extended symmetry analysis of a two-dimensional degenerate Burgers
equation. Its complete point-symmetry group is found using the algebraic method, and all its …

We study the interior regularity properties of the solutions to the degenerate parabolic
equation,\[\Delta _ {x} u+ b\partial _ {y} u-\partial _ {t} u= f,\qquad (x, y, t)\in\mathbb …

CLASSICAL FUNDAMENTAL SOLUTION OF THE CAUCHY PROBLEM FOR
ULTRAPARABOLIC KOLMOGOROV-TYPE EQUATIONS WITH TWO GROUPS OF SPATIAL …

Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups H , n > 1 Page 1 J.
reine angew. Math. 648 (2010), 75—110 DOI 10.1515/CRELLE.2010.080 Journal fr die reine …

In this paper we prove optimal interior regularity for solutions to the obstacle problem for a
class of second order differential operators of Kolmogorov type. We treat smooth obstacles …

We study the interior regularity properties of the solutions of a nonlinear degenerate
equation arising in mathematical finance. We set the problem in the framework of …