Two Positive Solutions of a Quasilinear Elliptic Dirichlet Problem |
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| Authors: | C. A. Stuart |
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| Affiliation: | (1) Dipartimento di Matematica, Politecnico di Milano, P.zza L. da Vinci 32, 20133 Milano, Italy;(2) Dipartimento di Matematica e Applicazioni, Universit? di Milano-Bicocca, Via Cozzi 53, 20125 Milano, Italy |
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| 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, Ω. Solutions of the boundary value problem are critical points of C 1–functional on H01(W){H_0^1(Omega)}. One solution is a local minimum and the other is of mountain pass type. |
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