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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1016/0964-7775(92)90064-C

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1573-8795

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On the existence of bounded generalized solutions

Authors: Mikhail V Voitovich
Publish Date: 2015/09/05
Volume: 210, Issue: 1, Pages: 86-113
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Abstract

In this article we consider a class of nonlinear highorder elliptic equations with principal coefficients satisfying a strengthened coercivity condition and with the lowerorder term admitting an arbitrary growth with respect to unknown function and the growth rates of derivatives of this function coinciding with the exponents of the corresponding energy space We prove a theorem on existence of bounded generalized solutions of the Dirichlet problem for equations of the given class

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