On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations
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| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2550-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2550-y | ||
| 100 | 1 | |a Voitovich |D Mikhail |u Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., 01601, Kiev, Ukraine |4 aut | |
| 245 | 1 | 0 | |a On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations |h [Elektronische Daten] |c [Mikhail Voitovich] |
| 520 | 3 | |a In this article, we consider a class of nonlinear high-order elliptic equations with principal coefficients satisfying a strengthened coercivity condition, and with the lower-order 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Nonlinear high-order elliptic equations |2 nationallicence | |
| 690 | 7 | |a strengthened coercivity |2 nationallicence | |
| 690 | 7 | |a Dirichlet problem |2 nationallicence | |
| 690 | 7 | |a generalized solution |2 nationallicence | |
| 690 | 7 | |a L ∞ -estimate of a solution |2 nationallicence | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/1(2015-10-01), 86-113 |x 1072-3374 |q 210:1<86 |1 2015 |2 210 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2550-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2550-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Voitovich |D Mikhail |u Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., 01601, Kiev, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/1(2015-10-01), 86-113 |x 1072-3374 |q 210:1<86 |1 2015 |2 210 |o 10958 | ||