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研究一类带Hardy-Sobolev临界指数的Kirchhoff型方程其中Ω⊂R3是一个有界开区域且边界∂Ω光滑，0∈Ω，a，b≥0且a+b>0，λ>0，0 < q < 1，0≤s<1。利用变分方法，获得该问题正解的存在性结果。
LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS
Logarithmic sobolev limited markov chain the inequality
2015/7/14
LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS。
The Logarithmic Sobolev Constant of The Lamplighter
The Logarithmic Sobolev Constant The Lamplighter
2010/11/12
We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.
Polynomial Approximation in Sobolev Spaces on the Unit Sphere and the Unit Ball
Polynomial Sobolev Spaces Unit Sphere Unit Ball
2010/11/18
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial ap...
Optimal boundary holes for the Sobolev trace constant
Optimal boundary holes the Sobolev trace constant
2010/11/18
In this paper we study the problem of minimizing the Sobolev trace Rayleigh quotient $\|u\|_{W^{1,p}(\Omega)}^p / \|u\|_{L^q(\partial\Omega)}^p$ among functions that vanish in a set contained on the b...
In this paper we present a new characterization of Sobolev spaces on Euclidian spaces ($\mathbb{R}^n$). Our characterizing condition is obtained via a quadratic multiscale expression which exploits t...