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EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH STRONG SINGULARITY

김찬균
영남수학회 (Youngnam Mathematical Society)|2023.01|East Asian Mathematical Journal|제39권 제1호|pp. 29-36

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참고문헌

키워드

φ-Laplacianexistence of positive solutionssingular weight func- tionnonlocal boundary conditions.
주제분류수학

초록

In this paper, we consider φ-Laplacian nonlocal boundary value problems with singular weight function which may not be in L1(0, 1). The existence and nonexistence of positive solutions to the given problem for parameter λ belonging to some open intervals are shown. Our approach is based on the fixed point index theory.

Abstract

In this paper, we consider φ-Laplacian nonlocal boundary value problems with singular weight function which may not be in L1(0, 1). The existence and nonexistence of positive solutions to the given problem for parameter λ belonging to some open intervals are shown. Our approach is based on the fixed point index theory.

참고문헌 (19)

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