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Two Positive Solutions of a Quasilinear Elliptic Dirichlet Problem

Stuart, C. A.
2011
Milan Journal Of Mathematics

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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32_2011_Article_140.pdf

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