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On improving teachersď beliefs about mathematical education
Tichá, Marie
The contribution is based on our belief about teacherďs decisive effect on the character of mathematical education. Therefore we put stress to the necessity to help teachers to shift them from "transferring of informations" to the "bringing of challenges, questions, problems". Some impulses how to influence teacherďs belief and our present experience from the work with teachers are given.
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Sobolev inequality with variable exponent
Rákosník, Jiří
Recently, an increasing attention has been payed to partial differential equations and variational integrals involving coefficients of nonstandard growth. A natural tool to handle some of the related problems may be theory of spaces of functions integrable with variable exponent. The paper discusses the Sobolev inequality in this context and shows that it holds if the exponentfunction is Lipschitz-continuous.
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