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Existence results for a class of degenerate quasilinear elliptic systems

โœ Scribed by Ghasem A. Afrouzi; Somayeh Mahdavi


Publisher
Springer
Year
2011
Tongue
English
Weight
149 KB
Volume
51
Category
Article
ISSN
0363-1672

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Existence of solutions for degenerate qu
โœ Weilin Zou; Fengquan Li ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 390 KB

This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, โˆ‡u) = gdiv(f ), where a(x, u, โˆ‡u) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor