NOTE ON THE RESULTS WITH LOWER SEMI-CONTINUITY
نویسندگان
چکیده
منابع مشابه
A Note on the Lower Semi-continuity of Double Integrals in the Parametric Form
where x stands for the three coordinate functions, ^(w , u)} ff (#\ u), x{u, u), and X stands for their three Jacobians. Various theorems of the following general type have been proved by McShane, Caccioppoli, Cimmino, and Radó: If (i) the triples of functions xn{u , u), i = 1, 2; n = 0, 1, 2, • • • , satisfy certain conditions; (ii) the surfaces defined by x = xn(u , u), i = l,2;n = l,2, • • •...
متن کاملLower Semi-continuity of Integrals with G-quasiconvex Potential
defined over Sobolev spaces is connected to the convexity of the potential w. In the scalar case, that is for functions u with domain or range in R, the functional I is weakly W 1,p lower semi-continuous (weakly * W ) if and only if w is convex, provided it is continuous and satisfies some growth conditions. The notion which replaces convexity in the vector case is quasi-convexity (introduced b...
متن کاملSOME RESULTS OF CONTINUITY ?f
The dynamical behavior of a map on the unit interval has been the subject of much contemporary research. In this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits o...
متن کاملA note on semi-regular locales
Semi-regular locales are extensions of the classical semiregular spaces. We investigate the conditions such that semi-regularization is a functor. We also investigate the conditions such that semi-regularization is a reflection or coreflection.
متن کاملEquilibrium in Abstract Economies without the Lower Semi-continuity of the Constraint Maps
We use graph convergence of set valued maps to show the existence of an equilibrium for an abstract economy without assuming the lower semi continuity of the constraint maps.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2002
ISSN: 1015-8634
DOI: 10.4134/bkms.2002.39.4.535