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Two Positive Solutions of a Quasilinear Elliptic Dirichlet Problem

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Charles Stuart
2011
journal articles

Abstract

For a class of second order quasilinear elliptic equations we establish the existence of two non-negative weak solutions of the Dirichlet problem on a bounded domain, Omega. Solutions of the boundary value problem are critical points of C-1-functional on H-0(1) (Omega). One solution is a local minimum and the other is of mountain pass type.

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https://infoscience.epfl.ch/entities/publication/6f640bbf-3180-4c40-b7e8-76c2fec63b28

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