Geodesic
Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 268-271

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The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary. The parameter values for which the corresponding problem has the nonzero solution are called eigenvalues. The existence of eigenvalue problem solutions for equations of elliptic type with discontinuous nonlinearities is considered in this paper. Estimations of the differential operator are obtained for these problems.
Keywords: boundary value problems, spectral parameter, discontinuous nonlinearity, estimations of differential operator.
Mots-clés : equations of elliptic type 
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     author = {D. K. Potapov},
     title = {Estimations of a {Differential} {Operator} in {Spectral} {Parameter} {Problems} for {Elliptic} {Equations} with {Discontinuous} {Nonlinearities}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
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     publisher = {mathdoc},
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D. K. Potapov. Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 268-271. http://geodesic.mathdoc.fr/item/VSGTU_2010_5_a30/