Article ID Journal Published Year Pages File Type
841425 Nonlinear Analysis: Theory, Methods & Applications 2011 5 Pages PDF
Abstract

We determine the principal eigenvalues of the linear indefinite weight problem u⁗(x)=rg(x)u(x),x∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0. Moreover, we investigate the existence of positive solutions for the corresponding nonlinear indefinite weight problem, where g:[0,1]→Rg:[0,1]→R is a continuous function which attains both positive and negative values, f∈C(R,R)f∈C(R,R), and rr is a parameter.

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