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Asymptotic Analysis - Volume 12, issue 1

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Price: EUR 420.00
ISSN 0921-7134 (P)
ISSN 1875-8576 (E)

Impact Factor 2024: 1.1

The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. 

Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.

Oscillations de faible amplitude pour les systèmes 2×2 de lois de conservation

Authors: Cheverry, C.

Article Type: Research Article

Abstract: Cet article est consacré aux systèmes de deux lois de conservation. Les conditions initiales sont choisies sous la forme d'oscillations de faible amplitude. On prouve que les solutions BV obtenues à l'aide du schéma de Glimm convergent vers l'unique solution entropique des équations de modulation de l'optique géométrique non linéaire.

DOI: 10.3233/ASY-1996-12101

Citation: Asymptotic Analysis, vol. 12, no. 1, pp. 1-24, 1996

Price: EUR 27.50

Nonlinear elliptic equations with critical growth related to the Trudinger inequality

Authors: Ogawa, Takayoshi | Suzuki, Takashi

Article Type: Research Article

DOI: 10.3233/ASY-1996-12102

Citation: Asymptotic Analysis, vol. 12, no. 1, pp. 25-40, 1996

Price: EUR 27.50

Asymptotic analysis of linearly elastic shells

Authors: Miara, B. | Sanchez-Palencia, E.

Article Type: Research Article

Abstract: Using the formal approach of asymptotic expansions we identify the two-dimensional limit membrane and bending models in the theory of linearly elastic shells. In this fashion, we retrieve the two asymptotic behaviors already announced in a short communication based on a multiple-scale technique.

DOI: 10.3233/ASY-1996-12103

Citation: Asymptotic Analysis, vol. 12, no. 1, pp. 41-54, 1996

Price: EUR 27.50

Local behavior for the solutions of a second order nonlinear differential equation

Authors: Salvatori, M.C. | Vitillaro, E.

Article Type: Research Article

Abstract: In this paper we study the local behavior near zero for the solutions of a class of second order differential equations which include, as a particular case, the radial version of the partial nonlinear differential equation, involving the m-Laplacian operator, div(|∇u|m−2 ∇u)+f(|x|,u)=0, x∈Rn \{0}, where n>m>1. Some important examples of f are given by f(t,u)=Ctν u|u|q−2   and  f(u)=C1 u|u|p−2 +C2 u|u|q−2 . As an application of our general results to the first case we extend to m>1 and ν>−m some estimates given in the literature for the Laplacian case m=2 or for ν=0.

DOI: 10.3233/ASY-1996-12104

Citation: Asymptotic Analysis, vol. 12, no. 1, pp. 55-76, 1996

Price: EUR 27.50
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