Two Positive Solutions of a Quasilinear Elliptic Dirichlet Problem

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.


Published in:
Milan Journal Of Mathematics, 79, 327-341
Year:
2011
Keywords:
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 Record created 2011-12-16, last modified 2018-01-28


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