International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2002 / Article

Open Access

Volume 29 |Article ID 319457 | https://doi.org/10.1155/S0161171202007147

Ghasem Alizadeh Afrouzi, "On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in N", International Journal of Mathematics and Mathematical Sciences, vol. 29, Article ID 319457, 5 pages, 2002. https://doi.org/10.1155/S0161171202007147

On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in N

Received19 Mar 2001

Abstract

We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem Δu(x)=λg(x)u(x), xBR(0);u(x)=0, |x|=R, where BR(0) is a ball in N, and g is a smooth function, and we show that λ1+(R) and λ1(R) are continuous functions of R.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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