C1,α-regularity for variational problems in theHeisenberg group
Shirsho Mukherjee, Xiao Zhong
Abstract
In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The considered cases encompass a very wide class of equations with isotropic growth conditions that are generalizations of the $p$-Laplacian type equation and also include equations with polynomial or exponential type growth. Some more general conditions have also been explored.
Topics & Concepts
MathematicsHeisenberg groupMaxima and minimaScalar (mathematics)Group (periodic table)Mathematical analysisVariational methodPure mathematicsVariational analysisMathematical physicsVariational principleLie groupApplied mathematicsCalculus of variationsNonlinear Partial Differential EquationsGeometric Analysis and Curvature FlowsNavier-Stokes equation solutions