FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER
2005 ◽
Vol 48
(1)
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pp. 91-124
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Keyword(s):
AbstractFor a large class of subsets $\varOmega\subset\mathbb{R}^{N}$ (including unbounded domains), we discuss the Fredholm and properness properties of second-order quasilinear elliptic operators viewed as mappings from $W^{2,p}(\varOmega;\mathbb{R}^{m})$ to $L^{p}(\varOmega;\mathbb{R}^{m})$ with $N\ltp\lt\infty$ and $m\geq1$. These operators arise in the study of elliptic systems of $m$ equations on $\varOmega$. A study in the case of a single equation ($m=1$) on $\mathbb{R}^{N}$ was carried out by Rabier and Stuart.AMS 2000 Mathematics subject classification: Primary 35J45; 35J60. Secondary 47A53; 47F05
2003 ◽
Vol 282
(2)
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pp. 531-552
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Keyword(s):
2010 ◽
Vol 249
(1)
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pp. 94-117
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Keyword(s):
2000 ◽
Vol 30
(3)
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pp. 437-461
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Keyword(s):
Keyword(s):
2002 ◽
Vol 21
(1)
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pp. 57-90
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Keyword(s):
1996 ◽
Vol 80
(6)
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pp. 2208-2225
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