期刊论文

Song, YQ

英文

数学物理学报(英文版)

0252-9602

2005

25

3

455-469

10.1016/S0252-9602(05)60009-4

This work is supported by NNSF（10471063）, Hunan NSF（03JJY4002） & Hunan Education Administration Item（03A011）；

本校为第一且通讯机构

The purpose of this paper is to prove existence of minimisers of the functional J(K, u) := integral(Omega\K) f(L-u)dx + alpha integral(Omega\K) vertical bar u - g vertical bar(q) dx + beta S-d(Q-1) (K boolean AND Omega), where Omega is an open set of the Heisenberg group H-n , K runs over all closed sets of H-n, u varies in C-H(1) (Omega \ K), alpha, beta > 0, q >= 1, g is an element of L-q (Omega) boolean AND L-infinity (Omega) and f : R-2n -> R is a convex function satis...

The purpose of this paper is to prove existence of minimisers of the functional where Ωis an open set of the Heisenberg group Hn, K runs over all closed sets of Hn, u varies in CH1（Ω\ K）, α,β> 0,q≥1, g ∈Lq（Ω） ∩L∞（Ω） and f : R2n→R is a convex function satisfying some structure conditions （H1）（H2）（H3）...