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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012 Issue 3(28), Pages 188–190 (Mi vsgtu1053)

Short Communication
Differential Equations

On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations

D. K. Potapov

St. Petersburg State University, St. Petersburg, Russia

Abstract: The eigenvalue problems for equations of elliptic type with discontinuous by the phase variable nonlinearities are considered. The character of nonlinearity discontinuities is investigated. In this paper the restrictions on discontinuity points of nonlinearity are weaker than in works of other authors.

Keywords: boundary value problems, elliptic equations, eigenvalue problems, discontinuous nonlinearity, character of discontinuities.

UDC: 517.95

MSC: Primary 35P30; Secondary 35J60

Original article submitted 01/IV/2012
revision submitted – 10/VIII/2012

DOI: 10.14498/vsgtu1053



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