Results 181 to 190 of about 469,360 (206)

The Isoperimetric inequality

Resonance, 2002
A new proof (due to X Cabre) of the classical isoperimetric theorem, based on Alexandrov’s idea of moving planes, will be presented. Compared to the usual proofs, which use geometric measure theory, this proof will be based on elementary ideas from calculus and partial differential equations (Laplace equation).
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A Semigroup Version of the Isoperimetric Inequality

Semigroup Forum, 2004
The isoperimetric inequality in \({\mathbb R}^n\) states the following principle. Let \(A\), \(B\) be subsets of \({\mathbb R}^n\) with the same volume, \(B\) a Euclidean ball and denote by \(| {\partial}A|\), \(| {\partial}B|\) the respective measure of the surfaces \({\partial}A\) and \({\partial}B\).
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Generalized isoperimetric inequalities. III

Journal of Mathematical Physics, 1973
The generalized isoperimetric inequalities for rearranged Green's functions, which have previously been discussed for a rearrangement process analogous to Steiner symmetrization, are obtained for a type of rearrangement analogous to circular symmetrization.
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L1 isoperimetric inequality on the unit disk

Advances in Mathematics, 2022
Jingbo Dou, Meijun Zhu
exaly  

Isoperimetric Inequalities and Their Applications

SIAM Review, 1967
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Splitting planar isoperimetric inequality through preduality of

Journal of Functional Analysis, 2006
Miroslav Pavlovic
exaly  

The Isoperimetric Inequality on the Sphere

American Journal of Mathematics, 1935
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A generalized affine isoperimetric inequality

Journal of Geometric Analysis, 2004
Ralph Howard, Erwin Lutwak
exaly  

Isoperimetric inequality

2022
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An isoperimetric inequality for the first eigenfunction in the fixed membrane problem

Zeitschrift Fur Angewandte Mathematik Und Physik, 1972
Lawrence E Payne
exaly