Existence of Positive Solutions to Singular Boundary Value Problems Involving ? -Laplacian

Jeongmi Jeong and Chan-Gyun Kim
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Jeongmi Jeong: Department of Mathematics, Pusan National University, Busan 609-735, Korea
Chan-Gyun Kim: Department of Mathematics Education, Pusan National University, Busan 609-735, Korea

Mathematics, 2019, vol. 7, issue 7, 1-13

Abstract: This paper is concerned with the existence of positive solutions to singular Dirichlet boundary value problems involving φ -Laplacian. For non-negative nonlinearity f = f ( t , s ) satisfying f ( t , 0 ) ? 0 , the existence of an unbounded solution component is shown. By investigating the shape of the component depending on the behavior of f at ∞ , the existence, nonexistence and multiplicity of positive solutions are studied.

Keywords: ? -Laplacian; multiplicity of positive solutions; annular domain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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