• Journal of the Chungcheong Mathematical Society
• /
• v.19 no.4
• /
• pp.393-402
• /
• 2006

We investigate relations between multiplicity of solutions and source terms in a elliptic equation. We have a concerne with a sharp result for multiplicity of a nonlinear Laplacian differential equation.

• Journal of the Chungcheong Mathematical Society
• /
• v.25 no.4
• /
• pp.711-715
• /
• 2012

In terms of divisible-like modules, some equivalent conditions for an integral domain R to be a generalized GCD domain are given.

• East Asian mathematical journal
• /
• v.34 no.5
• /
• pp.549-570
• /
• 2018

We establish existence and bifurcation of global positive solutions for parametrized nonhomogeneous elliptic equations involving critical Sobolev-Hardy exponents and Hardy terms. The main approach to the problem is the variational method.

• East Asian mathematical journal
• /
• v.34 no.5
• /
• pp.577-585
• /
• 2018

For the purpose of characterizing subharmonic or ${\mathcal{M}}$-subharmonic Hardy classes in the unit ball of ${\mathbb{C}}^n$, we establish fundamental identities between integral means in terms of volume integrals and Green's functions.

• Journal of the Chungcheong Mathematical Society
• /
• v.30 no.2
• /
• pp.227-238
• /
• 2017

The existence of solutions for nonlinear elliptic partial differential equations with general flux and damping terms is investigated.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.4
• /
• pp.1321-1325
• /
• 2015

In this paper we study the semicontinuity of the automorphism groups of domains in multi-dimensional complex space. We give examples to show that known results are sharp (in terms of the required boundary smoothness).

• Communications of the Korean Mathematical Society
• /
• v.30 no.1
• /
• pp.1-5
• /
• 2015

Let G be a cyclic group of prime power order. There is a natural embedding of $\mathbb{Z}[G]$ into a product of rings of integers of cyclotomic fields. In this paper the image of the embedding is determined, and we also compute the index of the image.

• Journal of the Korean Mathematical Society
• /
• v.34 no.4
• /
• pp.949-957
• /
• 1997

The purpose of this paper is to establish connection between certain complex of modules of generalized fractions and the concept of cosequence in commutative algebra. The main theorem of the paper leads to characterization, in terms of modules of generalized fractions, of regular (co) sequences.

• Communications of the Korean Mathematical Society
• /
• v.18 no.3
• /
• pp.533-540
• /
• 2003

We introduce the notion of semi-convergence of p-stacks and by using that notion we characterize the semi-interior, semiclosure, separation axioms and semi-continuity on a topological space. Also we introduce a new notion of p-somicompactness and investigate its properties in terms of semi-convergence of p-stacks.

• Communications of the Korean Mathematical Society
• /
• v.12 no.3
• /
• pp.679-683
• /
• 1997

We obtain new upper bound of the area of a constant breath curve. We estimate the area of a constant breadth curve in terms of its breadth and minimal radius and the arc length of its pedal curve.