【摘 要】
：
The purpose of this paper is to prove existence of minimisers of the functional J(K,u):=∫ΩK f(Lu)dx+α∫ΩK |u - g|qdx+βSQ-1d(K∩Ω),where Ω is an open set
【机 构】
：
Department of Mathematics & Calculation,School of Science
【基金项目】
：
湖南省自然科学基金;国家自然科学基金
论文部分内容阅读
The purpose of this paper is to prove existence of minimisers of the functional J(K,u):=∫ΩK f(Lu)dx+α∫ΩK |u - g|qdx+βSQ-1d(K∩Ω),where Ω is an open set of the Heisenberg group Hn, K runs over all closed sets of Hn, u varies in C1H(ΩK), 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) (see below).
其他文献
Unsupported Nd-doped Al2O3 membranes have been prepared with a sol-gel treatnt by using aluminium isopropoxide and Nd(NO3)3 as the main raw materials. The prope
应用基于BOX-Jenkins方法的时间序列分析技术,对青南高原的四个典型地区1961-2005年降水量序列进行ARMA建模分析:验证了四地区年降水量序列的时间序列特性,研究并选择了这些
Grafting of poly(methyl methacrylate) from narrow disperse polymer particles by surface-initiated atom transfer radical polymerization (ATRP) was investigated.
In this paper, illumination-affine invariant methods are presented based on affine moment normalization techniques, Zernike moments, and multiband correlation f
Spectral selective absorbent film is a crucial factor for the solar heating device. There are many kinds of spectral selective absorbing film made by different
This paper explores the diffeomorphism of a backward stochastic ordinary differential equation (BSDE) to a system of semi-linear backward stochastic partial dif
At room temperature, a new three-dimensional organic-inorganic coordination polymer [Cd(C4H2O4)(C3H4N2)3]n·2nH2O was synthesized by the reaction of Cd(CH3COO)2
A series of Ni/Cu/Al catalyst samples were prepared by the co-precipitation method. Carbon nanotubes with large inner diameters are successfully synthesized fro
An unstructured finite-volume numerical algorithm was presented for solution of the two-dimensional shallow water equations, based on triangular or arbitrary qu