【摘 要】
：
In this presentation,a variational free boundary problem of phase transition for the p-Laplace equation will be introduced,for 1 ＜ p ＜ ∞.The existence of a minim
【机 构】
：
WayneStateUniversity
【出 处】
：
Harmonic Analysis and Applications(2014调和分析及其应用学术会议)
论文部分内容阅读
In this presentation,a variational free boundary problem of phase transition for the p-Laplace equation will be introduced,for 1 ＜ p ＜ ∞.The existence of a minimizer,the free boundary condition,and non-degeneracy of the minimizer will be proved.This project follows in line with Alt,Caffarelli,and Friedmans work on a similar free boundary problem for the Laplacian.Nevertheless,in the current situation,a counterpart of a monotonicity formula which plays a pivotal role in the latter is absent.Moreover,if one sends p to infinity,one can prove a uniform limit of the minimizers of the variational problem for the p-Laplacian satisfies a free boundary problem for the infinity Laplacian,albeit not in the variational form any more.
其他文献
In this talk,we characterize the flag weights via maximal operators and give the weighted norm inequality for flag singular integrals on homogeneous groups.We a
该文针对东北制药总厂氯霉素硝基废水危害严重、多年悬而未决的难题,采用炉渣吸附—微电解—生物氧化的方法对其进行了全面细致的研究.炉渣吸附实验分静态实验、动态实验和模
In this talk,we will present some recent results on the boundedness of rough sigular integrals along certain lower-dimensional sets,which cover the polynomial c
We present recent results on invariance of almost-orthogonal systems across A∞-weighted spaces L2(w).For systems of functions adapted to the dyadic cubes,and s
Let f be a compactly supported function in L2(Rn).It is well known that we can recover f from its Fourier transform(∧)f.The classical phase retrieval problem a
该文对新型紫杉醇给药系统--“聚乙二醇-氨基酸-紫杉醇”型前药的特性进行了研究,测定了前药的水溶性和紫杉醇含量.结果表明,此类前药的水溶性良好（达紫杉醇的200～400倍）.在体外
Given a function(φ)on R,the Hausdorff operator H(φ)f is defined by(H(φ))(x)=∫1/|t|f(x/t)(φ)(t)dtR.(1)E.Liflyand asked the following problem([1] problem 3):
我们研究了欧氏空间Rn+1 中单位球B 上的分数次Carleson 测度,提供了各种定义形式及其刻画,并应用于刻画B 上的一类面积积分算子、Q 空间以及Morrey 空间,把很多复圆盘及上半
黄河流域河南段流经河南省21个县市,是黄河中下游重要的一段,是中华文明的发源地,同样也是我国重要的粮食产区。该区域从东向西,从平原经丘陵到山地形成了一个连续变化的环境
该言语对这两类反应器作了深入详尽的对比分析.根据流态化的两相流理论,建立了MTC/TEC挡板流化床反应器与Hoechst/Uhde自由床反应器的数学模型,并进行了模拟计算,得出了各反