Displaying similar documents to “On homogenization of solutions of boundary value problems in domains, perforated along manifolds”

Peak solutions for an elliptic system of FitzHugh-Nagumo type

Edward Norman Dancer, Shusen Yan (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The aim of this paper is to study the existence of various types of peak solutions for an elliptic system of FitzHugh-Nagumo type. We prove that the system has a single peak solution, which concentrates near the boundary of the domain. Under some extra assumptions, we also construct multi-peak solutions with all the peaks near the boundary, and a single peak solution with its peak near an interior point of the domain.

Gaps between consecutive divisors of factorials

Daniel Berend, J. E. Harmse (1993)

Annales de l'institut Fourier

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The set of all divisors of n ! , ordered according to increasing magnitude, is considered, and an upper bound on the gaps between consecutive ones is obtained. We are especially interested in the divisors nearest n ! and obtain a lower bound on their distance.

On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary

Olga A. Oleinik, Tatiana A. Shaposhnikova (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].

On the mean values of Dedekind sums

Wenpeng Zhang (1996)

Journal de théorie des nombres de Bordeaux

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In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.