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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Bibliografiske detaljer
Hovedforfatter: Vladimir S. Klimov
Format: Article
Sprog:English
Udgivet: Yaroslavl State University 2018-06-01
Serier:Моделирование и анализ информационных систем
Fag:
Online adgang:https://www.mais-journal.ru/jour/article/view/691