Geodesic
Discontinuous elliptic problems in $\Bbb R^N$ without monotonicity assumptions
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 451-458.

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We prove existence of a positive, radial solution for a semilinear elliptic problem with a discontinuous nonlinearity. We use an approximating argument which requires no monotonicity assumptions on the nonlinearity.
Classification : 35A35, 35J20, 35J60, 35R05
Keywords: free boundary problem; plasma physics 
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     title = {Discontinuous elliptic problems in $\Bbb R^N$ without monotonicity assumptions},
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Cingolani, Silvia; Lazzo, Monica. Discontinuous elliptic problems in $\Bbb R^N$ without monotonicity assumptions. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 451-458. http://geodesic.mathdoc.fr/item/CMUC_2001__42_3_a2/