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Bifurcation problems for a class of degenerate quasilinear elliptic equations

โœ Scribed by Yun-xiang Li; Yu Ye; Fang-li Xia


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
218 KB
Volume
26
Category
Article
ISSN
0168-9673

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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