Affiliation:
1. Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran
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),x∈BR(0);u(x)=0,|x|=R, whereBR(0)is a ball inℝN, andgis a smooth function, and we show thatλ1+(R)andλ1−(R)are continuous functions ofR.
Subject
Mathematics (miscellaneous)
Cited by
2 articles.
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