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Currently displaying 1 – 4 of 4

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Discontinuous elliptic problems in $ℝ^{N}$ without monotonicity assumptions

Silvia Cingolani; Monica Lazzo — 2001

Commentationes Mathematicae Universitatis Carolinae

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

Anna Maria Candela; Monica Lazzo — 1994

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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.

Multiple solutions to some singular nonlinear Schrödinger equations.

Lazzo, Monica — 2001

Electronic Journal of Differential Equations (EJDE) [electronic only]

Large radial solutions of a polyharmonic equation with superlinear growth.

Díaz, J.Ildefonso; Lazzo, Monica; Schmidt, Paul G. — 2007