Silvia Cingolani, Monica Lazzo
Discontinuous elliptic problems in $\Bbb R^N$ without monotonicity assumptions

Comment.Math.Univ.Carolinae 42,3 (2001) 451-458.

Abstract: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.

Keywords: free boundary problem, plasma physics
AMS Subject Classification: 35J60, 35J20, 35R05