International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2002 / Article

Open Access

Volume 29 |Article ID 319457 | 5 pages |

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


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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