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The existence of three positive solutions of a singular -Laplacian problem

โœ Scribed by Lin Zhao; Yuan He; Peihao Zhao


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
245 KB
Volume
74
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


We establish the existence of three positive solutions of the p-Laplacian problem, which involves a singular nonlinearity. Three solutions are obtained by using the cutoff argument and the three critical points theorem proved by Ricceri (2000) in [15] and Bonanno (2003) in [12], provided the nonlinear term is a (p -1)-sublinear growth at infinity.


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