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

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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 )… Click to show full 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: problems involving; positive solutions; boundary value; existence positive; solutions singular; value problems

Journal Title: Mathematics
Year Published: 2019

Link to full text (if available)


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