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http://dx.doi.org/10.7858/eamj.2022.035

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR GENERALIZED LAPLACIAN PROBLEMS WITH A PARAMETER  

Kim, Chan-Gyun (Department of Mathematics Education Chinju National University of Education)
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Abstract
In this paper, we consider singular 𝜑-Laplacian problems with nonlocal boundary conditions. Using a fixed point index theorem on a suitable cone, the existence results for one or two positive solutions are established under the assumption that the nonlinearity may not satisfy the L1-Carathéodory condition.
Keywords
positive solution; singular weight function; generalized-Laplacian problem;
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