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Existence and Multiplicity of Positive Solutions for Singular Generalized Laplacian Problems with a Parameter

김찬균
영남수학회 (Youngnam Mathematical Society)|2022.09|East Asian Mathematical Journal|제38권 제5호|pp. 593-601

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참고문헌

키워드

positive solutionsingular weight functiongeneralized-Laplacian problem.
주제분류수학

초록

In this paper, we consider singular φ-Laplacian problems with nonlocal boundary conditions. Using a fixed point index theorem on a suitable cone, the existence results for one or two positive solutions are established under the assumption that the nonlinearity may not satisfy the L1-Carath ́eodory condition.

Abstract

In this paper, we consider singular φ-Laplacian problems with nonlocal boundary conditions. Using a fixed point index theorem on a suitable cone, the existence results for one or two positive solutions are established under the assumption that the nonlinearity may not satisfy the L1-Carath ́eodory condition.

참고문헌 (19)

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  15. 김찬균, "Existence of Positive Solutions for Generalized Laplacian Problems with a Parameter", East Asian Mathematical Journal, 38(1), pp.33~41 (2022), 영남수학회
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관련 논문AI추천

Existence of Positive Solutions for Generalized Laplacian Problems with a Parameter김찬균영남수학회 · East Asian Mathematical Journal2022 · 제38권 제1호EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH STRONG SINGULARITY김찬균영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Multiplicity results of positive solutions for singular generalized Laplacian systems이용훈, Xianghui Xu대한수학회 · 대한수학회지2019 · 제56권 제5호EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH A SINGULAR WEIGHT김찬균, 이용훈영남수학회 · East Asian Mathematical Journal2024 · 제40권 제1호Positive solutions of singular Dirichlet problems via variational methodsJifeng Chu, Juntao Sun대한수학회 · 대한수학회지2013 · 제50권 제4호POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR p-LAPLACIAN WITH SIGN-CHANGING NONLINEAR TERMSWanyin Xu, Xiangfeng Li대한수학회 · 대한수학회보2010 · 제47권 제2호

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