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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 280–284
DOI: https://doi.org/10.4213/mzm8725 (Mi mzm8725) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Bifurcation Problems for Equations of Elliptic Type with Discontinuous Nonlinearities

D. K. Potapov

Saint-Petersburg State University
Full-text PDF (399 kB) Citations (15)
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DOI: https://doi.org/10.4213/mzm8725
Abstract: We consider the problem of the existence of semiregular solutions to the main boundary-value problems for second-order equations of elliptic type with a spectral parameter and discontinuous nonlinearities. A variational method is used to obtain the theorem on the existence of solutions and properties of the “separating” set for the problems under consideration. The results obtained are applied to the Goldshtik problem.
Keywords: second-order equation of elliptic type, bifurcation problem, semiregular solution, Carathéodory function, Dirichlet boundary condition, Neumann boundary condition.
Received: 15.03.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 260–264
DOI: https://doi.org/10.1134/S000143461107025X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: D. K. Potapov, “Bifurcation Problems for Equations of Elliptic Type with Discontinuous Nonlinearities”, Mat. Zametki, 90:2 (2011), 280–284; Math. Notes, 90:2 (2011), 260–264
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
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