搜索结果: 1-4 共查到“函数论 Variational problems”相关记录4条 . 查询时间(0.093 秒)
Non-Coercive Variational Problems with Constraints on the Derivatives
Non-Coercive Variational Problems Derivatives Constraints
2009/1/22
We establish a necessary and sufficient condition for the existence of the minimum of the functional $\dis{\int_0^1} f(t,v^\prime(t))dt$ in the class ${\cal W}_d^p=\{v\in W^{1,p}([0,1]): v(0)=0, v(1)=...
Variational Problems with Pointwise Constraints on the Derivatives
Variational problems Topological methods Pointwise constraints on the laplacian Nonsmooth analysis Subgradients
2009/1/22
This paper is concerned with the solvability of a class of nonlinear variational inequalities involving pointwise unilateral constraints on the laplacian. We describe the set of the pairs $(\psi,h)$ o...
Nonexistence of Solutions in Nonconvex Multidimensional Variational Problems
Gradient Young measures extreme points Cantor sets integration factors Bauer principle nonattainment
2009/1/19
In the scalar n-dimensional situation, the extreme points in the set of certain gradient Lp-Young measures
are studied. For n = 1, such Young measures must be composed from Diracs, while for n µ...
Euler-Lagrange Inclusions and Existence of Minimizers for a Class of Non-Coercive Variational Problems
Calculus of variations existence Euler-Lagrange inclusions radially symmetric solutions non-coercive problems
2009/1/13
We are concerned with integral functionals of the form
J(v)\doteq \int_{B_R^n} \left[f(|x|,|\nabla v(x)|)+h(|x|,v(x))\right] dx,
defined on $W^{1,1}_0(B_R^n, \mathbb{R}^m)$, where $B_R^n$ is the b...