An Isoperimitric problem perturbed by the potential of the reproduction kernel of a reproducing kernel Hilbert space.
Abstract
The purpose of This paper is to study the minimizer of the isoperi
metric perturbation problem, over measurable sets of fixed volume.
The problem is perturbed by an addition of repulsive nonlocal potentials of kernel K, which is a reproduction kernel of a reproducing kernel Hilbert space. We establish the existence of a minimizer of this problem. Besides, we study the geometric shape of a minimizer.
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Published
2025-10-07
Section
Mathematics and Computing - Innovations and Applications (ICMSC-2025)
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
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