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Goswin Zickgraf 《Fresenius' Journal of Analytical Chemistry》1902,41(8):488-494
Ohne Zusammenfassung 相似文献
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Goswin Eisen 《Applied Mathematics and Optimization》1984,12(1):173-189
Various problems in mathematics and physics can be formulated in terms of a variational problem with obstacles and integral constraints, e.g. finding a surface of minimal area with prescribed volume in a bounded region.We are concerned with the regularity of solutions of variational problems: We show that the minima of a variational integral under all Sobolewfunctions with prescribed boundary values, lying between two obstacles, and fulfilling some integral constraints, are bounded and Hölder-continuous. We do not assume any differentiability or convexity of the integrand, but only a Caratheodory and a growth condition.This research has been supported by the Sonderforschungsbereich 72 of the Deutsche Forschungsgemeinschaft. 相似文献
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Goswin Eisen 《manuscripta mathematica》1979,27(1):73-79
In the present paper we show that the integral functional
is lower semicontinuous with respect to the joint convergence of yk to y in measure and the weak convergence of uk to u in L1. The integrand f: G × N × m , (x, z, p) f(x, z, p) is assumed to be measurable in x for all (z,p), continuous in z for almost all x and all p, convex in p for all (x,z), and to satisfy the condition f(x,z,p)(x) for all (x,z,p), where is some L1-function.The crucial idea of our paper is contained in the following simple 相似文献
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