搜索结果: 106-120 共查到“知识库 实变函数论”相关记录168条 . 查询时间(2.078 秒)
Viability Results for Nonautonomous DiÞerential Inclusions
Viability Results Nonautonomous DiÞ erential Inclusions
2009/1/19
We obtain measurable viability results for the diÞerential inclusion y0(t) 2 F(t; y(t)) via the approximation of F through the Aumann integral means. The admissibility of a preorder is also stud...
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...
Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
Continuous Solution Parametric Nonlinear Equation Constraints
2009/1/16
Combining a consequence of the Michael continuous selection theorem and an iterative scheme we prove the existence of a continuous solution of a parametric equation with constraints. An inverse functi...
Bounded Linear Regularity, Strong CHIP, and CHIP are Distinct Properties
conical hull intersection property Bounded Linear Regularity Distinct Properties
2009/1/16
Bounded linear regularity, the strong conical hull intersection property (strong CHIP), and the conical hull intersection property (CHIP) are properties of a collection of finitely many closed conve...
Homographic Approximation for Some Nonlinear Parabolic Unilateral Problems
Homographic Nonlinear Parabolic Unilateral Problems
2009/1/15
We deal with nonlinear parabolic unilateral problems by means of the homographic approximation, introduced by C. M. Brauner and B. Nicolaenko [in: "Nonlinear Partial Diff. Equations and Their Applicat...
Minimax Equalities by Reconstruction of Polytopes
Minimax Equalities Reconstruction of Polytopes
2009/1/13
Given a quasi-concave-convex real-valued function f: X×Y -> R defined on the product of two convex sets we would like to know if inffY supX f = supX inffY f...
Total Convexity for Powers of the Norm in Uniformly Convex Banach Spaces
Uniformly Convex Banach Spaces Norm Total Convexity
2009/1/13
The aim of the paper is to show that, in uniformly convex Banach spaces, the powers of the norm with exponent r > 1 share a property called total convexity. Using this fact we establish a formula for ...
We consider the stability of solutions of variational problems with respect to perturbations of the integrand, raised by S. M. Ulam [A Collection of Mathematical Problems, Interscience, Los Alamos, 1...
On the Lavrentieff Phenomenon for some Classes of Dirichlet Minimum Problems
Lavrentieff Phenomenon Dirichlet Minimum Problems
2009/1/13
Starting from some recent results of the authors, the Lavrentieff phenomenon between BV functions and smooth ones for the functional appearing in some classes of relaxed Dirichlet problems is studied....
Elements of Quasiconvex Subdifferential Calculus
Calculus subdifferential constructed lower subdifferential
2009/1/13
A number of rules for the calculus of subdifferentials of generalized convex functions are displayed. The subdifferentials we use are among the most significant for this class of functions, in particu...
A Two-Dimensional Variational Model for the Equilibrium Configuration of an Incompressible, Elastic Body with a Three-Well Elastic Potential
Two-Dimensional Variational Model Elastic Body Equilibrium Configuration Three-Well Elastic Potential
2009/1/13
We consider a geometrically linear variational model in two space dimensions for an incompressible, elastic body whose elastic potential has exactly three wells corresponding to one austenitic and to ...
Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data
summability nonlinear parabolic equations measure data
2009/1/13
In this paper, we give an improvement of the summability of solutions to nonlinear parabolic equations with measure data.
Absolute Minimizer in Convex Programming by Exponential Penalty
Convexity minimax problems penalty methods nonuniqueness optimal trajectory convergence
2009/1/13
We consider a nonlinear convex program. Under some general hypotheses, we prove that approximate solutions obtained by exponential penalty converge toward a particular solution of the original convex ...
On the Second-Order Contingent Set and Differential Inclusions
Continuous multifunctions compact multifunctions contingent cone second-order contingent set
2009/1/13
In this paper, we establish the existence of solutions of a nonconvex second order differential inclusion of the following type:
\stackrel{..}{x}(t)\in F(x(t), \stackrel{.}{x}(t)) \text{ a.e, } x(0)...
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...