Anisotropic elliptic system with Neumann boundary data: Influence of the coefficients on solutions

Sahoo, Alok Kumar and Manna, Bhakti Bhusan (2019) Anisotropic elliptic system with Neumann boundary data: Influence of the coefficients on solutions. arxiv.org.

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Abstract

In this article we have described the role of the coefficients a(x),b(x) and c(x) to determine the concentration profile of the positive least energy solutions to the following anisotropic elliptic system with Neumann boundary data: −ϵ2Δu+c(x)u=b(x)vq, and −ϵ2Δv+c(x)v=a(x)up in Ω is a smooth bounded domain in Rn, and n≥3. As a consequence of this result, we have also shown the existence of some higher dimensional concentrating solutions for some singularly perturbed elliptic systems.

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IITH Creators:	IITH Creators ORCiD Manna, Bhakti Bhusan UNSPECIFIED
Item Type:	Article
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	27 Dec 2019 04:47
Last Modified:	27 Dec 2019 04:47
URI:	http://raiithold.iith.ac.in/id/eprint/7266
Publisher URL:
Related URLs:	Google Scholar

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