Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Chan-Gyun Kim"'
Autor:
Jeongmi Jeong, Chan-Gyun Kim
Publikováno v:
Mathematics, Vol 12, Iss 23, p 3668 (2024)
We investigate the homogeneous Dirichlet boundary value problem for generalized Laplacian equations with a singular, potentially non-integrable weight. By examining asymptotic behaviors of the nonlinear term near 0 and ∞, we establish the existence
Externí odkaz:
https://doaj.org/article/4522628d7730488ca641eea1dea54960
Autor:
Chan-Gyun Kim
Publikováno v:
Axioms, Vol 11, Iss 1, p 7 (2021)
In this paper, we consider generalized Laplacian problems with nonlocal boundary conditions and a singular weight, which may not be integrable. The existence of two positive solutions to the given problem for parameter λ belonging to some open inter
Externí odkaz:
https://doaj.org/article/7e61ffac3e654658af2c5dd65f30c3b0
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 32, Pp 1-23 (2016)
In this work, we investigate the existence and multiplicity results for positive solutions to a singular $(p_1,p_2)$-Laplacian system with coupled integral boundary conditions and a parameter $(\mu,\lambda) \in \mathbb{R}_+^3 $. Using sub-super solut
Externí odkaz:
https://doaj.org/article/465d241a121e496ab34e0c0a6300af3f
Autor:
Chan-Gyun Kim, Eun Kyoung Lee
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 127,, Pp 1-18 (2016)
In this article, we consider nonlocal p-Laplacian boundary-value problems with integral boundary conditions and a non-negative real-valued boundary condition as a parameter. The main purpose is to study the existence, nonexistence and multiplicity
Externí odkaz:
https://doaj.org/article/d8ae19949aa94be99033b4c32279814e
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 23, Pp 35-45 (2016)
This article shows the existence of at least one solution to nonlinear differential systems with coupled nonlocal boundary conditions on an infinite interval. Our main tool is the Alternative of Leray-Schauder.
Externí odkaz:
https://doaj.org/article/c46ce6aaab934f2fa4d043af63535e9b
Autor:
Chan-Gyun Kim
Publikováno v:
Mathematics, Vol 8, Iss 5, p 680 (2020)
In this paper, we study singular φ -Laplacian nonlocal boundary value problems with a nonlinearity which does not satisfy the L 1 -Carathéodory condition. The existence, nonexistence and/or multiplicity results of positive solutions are established
Externí odkaz:
https://doaj.org/article/b14421bdbf1049c0b6a4431a9de19da3
Autor:
Jeongmi Jeong, Chan-Gyun Kim
Publikováno v:
Mathematics, Vol 8, Iss 3, p 420 (2020)
In this paper, using a fixed point index theorem on a cone, we present some existence results for one or multiple positive solutions to φ -Laplacian nonlocal boundary value problems when φ is a sup-multiplicative-like function and the nonlinearity
Externí odkaz:
https://doaj.org/article/0fb0fdccd23e4d19abf5eaf4e6b57a74
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 237,, Pp 1-12 (2014)
We establish sufficient conditions for the existence of multiple positive solutions to nonautonomous quasilinear elliptic equations with p(x)-Laplacian and sign-changing nonlinearity. For solving the Dirichlet boundary-value problem we use variation
Externí odkaz:
https://doaj.org/article/b7b129e8077d4918bef110d2b23df4f9
Autor:
Chan-Gyun Kim, Eun Kyoung Lee
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 38,, Pp 1-13 (2014)
In this article we study the existence, nonexistence, and multiplicity of positive solutions for a singular multi-point boundary value problem with positive parameter. We use the fixed point index theory on a cone and a well-known theorem for the
Externí odkaz:
https://doaj.org/article/224d4f7c3ba64024be064a77e13ffb30
Autor:
Chan-Gyun Kim
Publikováno v:
Mathematics, Vol 7, Iss 10, p 953 (2019)
In this paper, we establish the results on the existence, nonexistence and multiplicity of positive solutions to singular boundary value problems involving φ -Laplacian. Our approach is based on the fixed point index theory. The interesting point is
Externí odkaz:
https://doaj.org/article/50a3213f94c94e6d83192533d2f88cf1