Geodesic
On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 251-255

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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, eigenvalue problems, discontinuous nonlinearity, variational method, number of solutions.
Mots-clés : elliptic equations 
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     title = {On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities},
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D. K. Potapov. On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 251-255. http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a27/