A quasilinear elliptic system with natural growth terms
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| 005 | 20210128100534.0 | ||
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| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-014-0441-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0441-3 | ||
| 245 | 0 | 2 | |a A quasilinear elliptic system with natural growth terms |h [Elektronische Daten] |c [Lucio Boccardo, Luigi Orsina, Jean-Pierre Puel] |
| 520 | 3 | |a In this paper, we prove existence of solutions for an elliptic system of the type $$\begin{aligned} {\left\{ \begin{array}{ll} -\mathrm{div}(a(x,z) \nabla u) = f, &{}\quad \text{ in } \varOmega \text{; } \\ -\mathrm{div}(b(x) \nabla z)+ h(x,z)|\nabla u|^2 = g, &{}\quad \text{ in } \varOmega \text{; } \\ \,u = 0 = z, &{}\quad \text{ on } \partial \varOmega \text{, } \end{array}\right. } \end{aligned}$$ - div ( a ( x , z ) ∇ u ) = f , in Ω ; - div ( b ( x ) ∇ z ) + h ( x , z ) | ∇ u | 2 = g , in Ω ; u = 0 = z , on ∂ Ω , under various assumptions on the functions $$a(x,s)$$ a ( x , s ) and $$h(x,s)$$ h ( x , s ) , and on the data $$f$$ f and $$g$$ g (in Lebesgue spaces). | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Nonlinear elliptic systems |2 nationallicence | |
| 690 | 7 | |a Quasilinear quadratic elliptic equations |2 nationallicence | |
| 690 | 7 | |a Existence and nonexistence of solutions |2 nationallicence | |
| 700 | 1 | |a Boccardo |D Lucio |u Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 2, 00185, Rome, Italy |4 aut | |
| 700 | 1 | |a Orsina |D Luigi |u Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 2, 00185, Rome, Italy |4 aut | |
| 700 | 1 | |a Puel |D Jean-Pierre |u Laboratoire de Mathématiques de Versailles, Université de Versailles St Quentin, 45 Avenue des Etats Unis, 78035, Versailles Cedex, France |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/6(2015-12-01), 1733-1750 |x 0373-3114 |q 194:6<1733 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0441-3 |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/s10231-014-0441-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Boccardo |D Lucio |u Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 2, 00185, Rome, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Orsina |D Luigi |u Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 2, 00185, Rome, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Puel |D Jean-Pierre |u Laboratoire de Mathématiques de Versailles, Université de Versailles St Quentin, 45 Avenue des Etats Unis, 78035, Versailles Cedex, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/6(2015-12-01), 1733-1750 |x 0373-3114 |q 194:6<1733 |1 2015 |2 194 |o 10231 | ||