Isoperimetric and Functional Inequalities
We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) -- a function that is \(B\)-measurable with resp...
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Format: | Article |
Language: | English |
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Yaroslavl State University
2018-06-01
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Series: | Моделирование и анализ информационных систем |
Subjects: | |
Online Access: | https://www.mais-journal.ru/jour/article/view/691 |