Geodesic
On elliptic equations with spectral parameter and discontinuous nonlinearity
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 417-421

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The main boundary problems for elliptic equations of the second order with a spectral parameter and nonlinearity discontinuous with respect to a phase variable are considered. By variational method the theorem on existence the correct solutions for these problems is proved, and the estimates for both a value of the bifurcational parameter and the differential operator are obtained.
Keywords: elliptic boundary problems, spectral parameter, discontinuous nonlinearity, variational method
Mots-clés : correct solutions. 
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     author = {Dmitry K. Potapov},
     title = {On elliptic equations with spectral parameter and discontinuous nonlinearity},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {417--421},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a13/}
}
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Dmitry K. Potapov. On elliptic equations with spectral parameter and discontinuous nonlinearity. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 417-421. http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a13/