Existence and Multiplicity Results for Nonlocal Boundary Value Problems with Strong Singularity

Chan-Gyun Kim
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Chan-Gyun Kim: Department of Mathematics Education, Chinju National Univeristy of Education, Jinju 52673, Korea

Mathematics, 2020, vol. 8, issue 5, 1-25

Abstract: In this paper, we study singular φ -Laplacian nonlocal boundary value problems with a nonlinearity which does not satisfy the L 1 -Carathéodory condition. The existence, nonexistence and/or multiplicity results of positive solutions are established under two different asymptotic behaviors of the nonlinearity at ∞.

Keywords: multiplicity of positive solutions; sup-multiplicative-like function; singular weight; nonlocal boundary conditions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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