Article ID Journal Published Year Pages File Type
841225 Nonlinear Analysis: Theory, Methods & Applications 2012 18 Pages PDF
Abstract

We obtain critical point variants of the compression fixed point theorem in cones of Krasnoselskii. Critical points are localized in a set defined by means of two norms. In applications to semilinear elliptic boundary value problems this makes possible the use of local Moser–Harnack inequalities for the estimations from below. Multiple solutions are found for problems with oscillating nonlinearity.

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