Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2008, Issue 10, Pages 44–48 (Mi vchgu92)  
Differential equations

On existence of solutions for elliptic equations at resonance

M. G. Lepchinski

Chelyabinsk State University
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Abstract: The paper devoted to generalization of one theorem by V. N. Pavlenko and V. V. Vinokur (2001) on existence for semilinear elliptic boundary value problems at resonance. In distinct from mentioned result, we consider unbounded nonlinearity and give new sufficient conditions on its growth for existance of solutions.
Document Type: Article
Language: Russian
Citation: M. G. Lepchinski, “On existence of solutions for elliptic equations at resonance”, Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10, 44–48
Citation in format AMSBIB
\Bibitem{Lep08}
\by M.~G.~Lepchinski
\paper On existence of solutions for elliptic equations at resonance
\jour Vestnik Chelyabinsk. Gos. Univ.
\yr 2008
\issue 10
\pages 44--48
\mathnet{http://mi.mathnet.ru/vchgu92}
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