Bifurcation from essential spectrum for an elliptic equation with general nonlinearity
Abstract
In this paper, based on some prior estimates, we show that the essential spectrum λ=0 is a bifurcation point for an superlinear elliptic equation with only local conditions, which generalizes a series of earlier results on an open problem proposed by C. A. Stuart in 1983 [Lecture Notes in Mathematics, 1017].
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