搜索结果: 1-8 共查到“偏微分方程 Growth”相关记录8条 . 查询时间(0.261 秒)
Growth rates, Hausdorff measure and stability for the p-obstacle problem(3/2≤p≤2)
growth rate Hausdorff measure obstacle problem stability
2011/10/17
In this paper, we consider the free boundary for the inho-mogeneous obstacle problem with zero obstacle. We firstly establish the growth rates for the solution u(x) and the gradient of u(x), awa...
Regularity of solutions of a free boundary problem modeling the growth of solid tumors
Free boundary problem tumor model regularity
2011/10/15
In this paper we study a free boundary problem modeling the growth of solid tumors. Due to the free boundary and surface tension effects, this problem is a nonlinear problem involving non-local terms....
Local and global behaviour of nonlinear equations with natural growth terms
Quasilinear equations natural growth terms Wolff potentials discrete Carleson measures
2011/9/5
Abstract: This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumptions on the...
Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$
Ekeland variational principle Mountain-pass Theorem Variational methods Critical growth Moser-Trudinger inequality
2011/8/23
Abstract: In this paper, we deal with the existence and multiplicity of solutions to the nonuniformly elliptic equation of the N-Lapalcian type with a potential and a nonlinear term of critical expone...
Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus
Growth of Weil-Petersson volumes random hyperbolic surfaces of large genus
2011/1/20
In this paper, we investigate the geometric properties of hyperbolic surfaces by studying the lengths of simple closed geodesics. The moduli space Mg,n of complete hyperbolic surfaces of genus g ≥ 2 w...
Laplacian Growth, Elliptic Growth, and Singularities of the Schwarz Potential
Laplacian Growth Elliptic Growth Singularities Schwarz Potential
2010/12/13
The Schwarz function has played an elegant role in understanding and in generating new examples of exact solutions to the Laplacian growth (or \Hele-Shaw\) problem in the plane.
Increasing variational solutions for a nonlinear $p$-laplace equation without growth conditions
variational solutions nonlinear $p$-laplace equation
2010/12/7
By means of a recent variational technique, we prove the existence of radially monotone solutions to a class of nonlinear problems involving the p-Laplace operator. No subcriticality condition (in the...
H¨older continuity of the weak solutions for parabolic equations with the nonstandard growth condition
Boundedness H\
2007/12/12
In this paper, we investigate the interior regularity including the local boundedness and the interior H\"{o}lder continuity of weak solutions for parabolic equations of the $p(x,t)$-Laplacian type. W...