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http://dx.doi.org/10.7858/eamj.2022.004

EXISTENCE OF POSITIVE SOLUTIONS FOR GENERALIZED LAPLACIAN PROBLEMS WITH A PARAMETER  

Kim, Chan-Gyun (Department of Mathematics Education Chinju National University of Education)
Publication Information
East Asian mathematical journal / v.38, no.1, 2022 , pp. 33-41 More about this Journal
Abstract
In this paper, we study singular Dirichlet boundary value problems involving ϕ-Laplacian. Using fixed point index theory, the existence of positive solutions is established under the assumption that the nonlinearity f = f(u) has a positive falling zero and is either superlinear or sublinear at u = 0.
Keywords
positive solution; singular weight function; generalized-Laplacian problem;
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