On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities

We study the existence of solutions of eigenvalue problems for elliptic equations of the second order with nonlinearity discontinuous with respect to a phase variable. Using the variational method, we receive the theorems on number of solutions for investigated problems. M. A. Gol'dshtik'...

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Bibliographic Details
Main Author: D. K. Potapov
Format: Article
Language:English
Published: Samara State Technical University 2012-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1045