• Bulletin of the Korean Mathematical Society
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• v.43 no.2
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• pp.411-418
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• 2006

In this paper, we show that a short simple closed geodesic in quaternionic hyperbolic 2-manifold has an embedded tubular neighborhood whose width only depends on the length of the geodesic.

• Communications of the Korean Mathematical Society
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• v.22 no.1
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• pp.145-155
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• 2007

In this paper, we show the convergence of approximate solutions to the convective porous media equation using methodology developed in [8]. First, we obtain the approximate transport equation for the given convective porous media equation. Then using the averaging lemma, we obtain the convergence.

• Honam Mathematical Journal
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• v.30 no.1
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• pp.91-99
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• 2008

Let R be a commutative ring (with identity). In this paper we will obtain some results concerning comultiplication R-modules. Further we state and prove a dual notion of Nakayama's lemma for finitely cogenerated modules.

• Bulletin of the Korean Mathematical Society
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• v.54 no.5
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• pp.1577-1596
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• 2017

We study contraction of points on ${\mathbb{P}}^1({\bar{\mathbb{Q}}})$ with certain control on local ramification indices, with application to the unramified curve correspondence problem initiated by Bogomolov and Tschinkel.

• Communications of the Korean Mathematical Society
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• v.14 no.2
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• pp.319-328
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• 1999

In this paper we consider a kind of Minty`s lemma for multifunctions in Banach spaces, and apply it to obtain existence theorems for two kinds of variational-like inequalities using the KKM-Fan theorem.

• Honam Mathematical Journal
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• v.27 no.3
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• pp.465-476
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• 2005

In this article, we solve some kinds of non-compact Douglas-Plateau problem for two convex curves in parallel planes.

• East Asian mathematical journal
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• v.30 no.3
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• pp.335-353
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• 2014

We establish multiple extence of positive solutions for parameterized nonhomogeneous elliptic equations involving critical Sobolev exponent. The approach to the problem is variational method.

• Communications of the Korean Mathematical Society
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• v.18 no.4
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• pp.615-620
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• 2003

Semi-meet-prime projective modules and fully invariant meet-prime submodules of a projective module are studied. Actually a generalization of the Schur's lemma and semi-prime endmorphism rings of projective modules are considered.

• Communications of the Korean Mathematical Society
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• v.15 no.2
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• pp.379-390
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• 2000

In this paper the limit theorems on lag increments of a Wiener process due to Chen, Kong and Lin [1] are developed to the case of a Gaussian process via estimating upper bounds of large deviation probabilities on suprema of the Gaussian process.

• Korean Journal of Mathematics
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• v.31 no.3
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• pp.339-347
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• 2023

This paper portrays the results on bicomplex entire functions that are concerned with the positioning of zeros of Eneström-Kakeya type. Moreover, some examples are provided to validate our results.