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

by Jeongmi Jeong 1,† and Chan-Gyun Kim 2,*,†
1
Department of mathematics, Pusan National University, Busan 46241, Korea
2
Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Korea
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(3), 420; https://doi.org/10.3390/math8030420 (registering DOI)
Received: 15 February 2020 / Revised: 9 March 2020 / Accepted: 10 March 2020 / Published: 14 March 2020
(This article belongs to the Special Issue Mathematical Analysis and Boundary Value Problems)
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. View Full-Text
Keywords: multiplicity of positive solutions; sup-multiplicative-like function; singular problem; nonlocal boundary conditions multiplicity of positive solutions; sup-multiplicative-like function; singular problem; nonlocal boundary conditions
MDPI and ACS Style

Jeong, J.; Kim, C.-G. Existence of Positive Solutions to Singular φ-Laplacian Nonlocal Boundary Value Problems when φ is a Sup-multiplicative-like Function. Mathematics 2020, 8, 420.

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