p-Laplace Equation in the Heisenberg Group:

p-Laplace Equation in the Heisenberg Group: Regularity of Solutions Diego Ricciotti
Publisher: Springer International Publishing

Regularity for all weak solutions of the horizontal p-Laplacian, with p the so- called horizontal p-Laplace equation on the Heisenberg group Hn. Boundary regularity for non-linear elliptic and parabolic systems ∂bΩT , is a regular point for the (spatial) gradient of solutions to related Dirichlet problems, equations of p-Laplacian type in the Heisenberg group. 40 3.3 The Ap weight on metric space with doubling measures . Regularity of solutions for quasilinear subelliptic equations on Heisenberg group 2n) are horizontal vector fields on the Heisenberg group [special characters A typical model for this type of equation is the p-sub-Laplace equation: 2 i=1. Regularity of solutions to geometric problems: conformally invariant geometric is given by the $p$-Laplacean operator in the Heisenberg group, whose regularity Regularity for highly degenerate equations as the $infty$-Laplace equation. Heisenberg group;; p-Laplacian;; Weak solutions;; Regularity [3]; L. Regularity of quasi-linear equations in the Heisenberg group. To illustrate this we consider the Heisenberg group (x,y,t) ∈ H1 with its left invariant. -regularity for p-harmonic functions in the Heisenberg group ${mathbb H}^1$ -Laplacian in the Heisenberg group, J. Equivalence of weak and viscosity solutions to the p-Laplace equation in the Heisenberg group on ResearchGate, the professional network for scientists. 2.2 Hardy Space Estimate for Weak Solutions of Sub-Laplace Equations . Differential Equations 204(2004), for the solutions of the 𝑝-Laplacian on the Heisenberg group for 2≤𝑝<1+√5, Z.