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Uniqueness and existence of positive solutions for degenerate logistic type elliptic equations on

✍ Scribed by Wei Dong; Lishan Liu


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
251 KB
Volume
67
Category
Article
ISSN
0362-546X

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This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, βˆ‡u) = gdiv(f ), where a(x, u, βˆ‡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