Minimality of balls in the small volume regime for a general Gamow-type functional
Abstract We consider functionals given by the sum of the perimeter and the double integral of some kernel g : ℝ N × ℝ N → ℝ + {g:\mathbb{R}^{N}\times\mathbb{R}^{N}\to\mathbb{R}^{+}} , multiplied by a “mass parameter” ε. We show that, whenever g is admissible, radial and decreasing, the unique minimizer of this functional among sets of given volume is the ball as soon as ε ≪ 1 {\varepsilon\ll 1} .
1978 ◽
Vol 36
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pp. 200-201
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1969 ◽
Vol 27
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pp. 170-171
2020 ◽
Vol 81
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pp. 198-203
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2020 ◽
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1983 ◽
Vol 18
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pp. 129-150
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1993 ◽
Vol 27
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pp. 19-25
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