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EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH A SINGULAR WEIGHT
김찬균,이용훈 영남수학회 2024 East Asian mathematical journal Vol.40 No.1
In this paper we study the existence and multiplicity of positive solutions for $p$-Laplacian problems with a singular weight. Proofs mainly make use of Global Continuation Theorem and Fixed Point Index argument. %In this paper we study the existence and multiplicity of positive solutions for $p$-Laplacian problems with a singular indefinite weight. %Proofs are mainly use of Global Continuation Theorem and Topological degree argument.
김찬균 세계기독교통일신령협회 2003 統一世界 Vol.- No.8
모든 식구들이 동분서주하면서 정성들인 '피스컴 코리아 2003'행사가 성황리에 끝났다. 그리고 지금 우리는 개척기로부터 지켜온 전통적 하계40일 전도기간(7.20~8.28)을 보내고 있다. 초창기에 비하면 지금은 전도하기에 좋은 여건을 갖추고 있다. 그래서 금년 여름전도는 사상 최고의 결실을 거둔다는 마음으로 매진해야 하겠다. 우리가 당면한 여러가지 해야할 일, 하고 싶은 일이 많지만 가장 시급한 일은 모든 사람들에게 복음의 말씀인 「원리」를 전하고 「축복」을 믿게 하는 일이다
Existence of Positive Solutions for Generalized Laplacian Problems with a Parameter
김찬균 영남수학회 2022 East Asian mathematical journal Vol.38 No.1
In this paper, we study singular Dirichlet boundary value problems involving $\varphi$-Laplacian. Using fixed point index theory, the existence of positive solutions is established under the assumption that the nonlinearity $f=f(u)$ has a positive falling zero and is either superlinear or sublinear at $u=0$.
김찬균 영남수학회 2023 East Asian mathematical journal Vol.39 No.1
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.
MULTIPLE SOLUTIONS FOR A p-LAPLACIAN SYSTEM WITH NONLINEAR BOUNDARY CONDITION
Jun Zhou,김찬균 대한수학회 2014 대한수학회보 Vol.51 No.1
A nonlinear elliptic problem involving p-Laplacian and nonlinear boundary condition is considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameter is small enough.
IPA 분석을 활용한 초등 수학과 교육과정에 대한예비교사의 인식 조사 연구
김윤민,류현아,김찬균 영남수학회 2024 East Asian mathematical journal Vol.40 No.2
This study investigates the perceptions toward prospectiveelementary teachers regarding the revised 2015 elementary mathematics curriculum. The aim is to understand the importance and implementation of the revised curriculum and provide implications for curriculum improvement in elementary teacher education institutions, using Interpretative Phenomenological Analysis (IPA). The research findings are as follows: Firstly, prospective elementary teachers perceived that the areas of the revised 2015 elementary mathematics curriculum that require particular focus are number and operations and data and probability. Secondly, they identified the specific elements within these areas that demand dedicated attention as follows: numbers up to four digits in number and operations, mixed calculations with natural numbers, shapes of solid figures, spatial sense of solid figures, comparison of quantities in measurement, etc. These findings can inform the improvement of the curriculum in elementary teacher education institutions.