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This article is cited in 1 scientific paper (total in 1 paper) Short Communication Differential Equations On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities D. K. Potapov St. Petersburg State University, St. Petersburg, Russia Abstract: 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's problem on separated flows of incompressible fluid is considered as an appendix. Keywords: boundary value problems, elliptic equations, eigenvalue problems, discontinuous nonlinearity, variational method, number of solutions DOI: https://doi.org/10.14498/vsgtu1045   Full text:
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UDC: 517.956.2 MSC: Primary 35J25; Secondary 35P30, 35J60, 35P15 Original article submitted 29/XI/2011 revision submitted – 17/II/2012 Citation: D. K. Potapov, “On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 
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