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Then there are multidimensional versions of membranes (2-branes, 3-branes, etc)., which work as reminders of why the author's mother's head hurt.
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For multidimensional version of Theorem 1.2 see [3].
Our generalization will include a multidimensional version of the Hilbert-type inequality in the whole plane.
A multidimensional version of this equivalence theorem concerning Hardy-type inequalities was proved by Oguntuase et al. [12].
Analogous to Remarks 2.3 and 2.5, we obtain multidimensional version of inequality (1.3) for as follows: (2.125).
According to Kuhn and Tucker [27, p. 113], a multidimensional version of this is implicit in the paper.
This method is used to solve a multidimensional version of the viscous Burgers equation, and a heterogeneous advection equation.
In this study, we consider the following initial boundary value problem for the multidimensional version of (1.1): (1.1).
We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case p="n≥2.
The first lemma is a variation of Lemma 2.6 of Fazekas and Tómács [10] and is a multidimensional version of the Kronecker lemma.
Combining this with Theorem 7.3 by approximation we thus obtain the following multidimensional version of the Suita conjecture: For a pseudoconvex (Omega ) and (win Omega ) one has begin{aligned} K_Omega (w,w ge frac{1}{lambda (I^A_Omega (w))}.
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