Existence and multiplicity of solutions for elliptic problems with indefinite discontinuous nonlinearities
Year: 2007
Type: article
Abstract: In this paper we study the critical points for a locally Lipschitz functional that in some sense will be solutions of an elliptic problem with indefinite discontinuous nonlinearities. We should mention that our results were inspired by the work of Ambrosetti‐Badiale [3], Arcoya‐Calahorrano [5], Alama‐Tarantello [1] and Chang [8]. For the problem studied in [3] we introduce indefinite nonlinearities as in [1] and [6]. To obtain the existence and multiplicity of solutions we use the critical points theory developed by Chang. Applications for Plasma Physics are considered with nonlinearities that change sign. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Source: PAMM
Author: Marco Calahorrano
Institution: National Polytechnic School
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Scuola Normale Superiore
OpenAlex ID: W2045217116