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Multiplicity solutions for fully nonlinear equation involving nonlinearity with zeros

✍ Scribed by Yu, Xiaohui

Book ID
125837079
Publisher
American Institute of Mathematical Sciences
Year
2012
Tongue
English
Weight
370 KB
Volume
12
Category
Article
ISSN
1534-0392

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Positive solutions for elliptic equation
Positive solutions for elliptic equations involving nonlinearities with falling zeroes
✍ Eun Kyoung Lee; R. Shivaji; Jinglong Ye πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 416 KB

We study classes of boundary value problems involving the p-Laplacian operator and nonlinearities which have falling zeroes. We analyze the existence and multiplicity of positive solutions when a parameter is large. We use the method of sub-supersolutions to establish our results.