Existence of Positive Solutions to Singular ? -Laplacian Nonlocal Boundary Value Problems when ? is a Sup-multiplicative-like Function

Jeongmi Jeong and Chan-Gyun Kim
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Jeongmi Jeong: Department of mathematics, Pusan National University, Busan 46241, Korea
Chan-Gyun Kim: Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Korea

Mathematics, 2020, vol. 8, issue 3, 1-18

Abstract: In this paper, using a fixed point index theorem on a cone, we present some existence results for one or multiple positive solutions to φ -Laplacian nonlocal boundary value problems when φ is a sup-multiplicative-like function and the nonlinearity may not satisfy the L 1 -Carath e ´ odory condition.

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