Multiple solutions to some singular nonlinear Schrödinger equations.
Large radial solutions of a polyharmonic equation with superlinear growth.
Discontinuous elliptic problems in without monotonicity assumptions
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.
Remarks on positive solutions to a semilinear Neumann problem
In this paper we study the influence of the domain topology on the multiplicity of solutions to a semilinear Neumann problem. In particular, we show that the number of positive solutions is stable under small perturbations of the domain.
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