• Journal of the Korean Mathematical Society
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• v.47 no.3
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• pp.547-572
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• 2010

We study existence of positive solutions of the classical nonlinear Schr$\ddot{o}$dinger equation $-{\Delta}u\;+\;V(x)u\;-\;f(x,\;u)\;-\;H(x)u^{2*-1}\;=\;0$, u > 0 in $\mathbb{R}^n$ $u\;{\rightarrow}\;0\;as\;|x|\;{\rightarrow}\;{\infty}$. In fact, we consider the following more general quasi-linear Schr$\ddot{o}$odinger equation $-div(|{\nabla}u|^{m-2}{\nabla}u)\;+\;V(x)u^{m-1}$ $-f(x,\;u)\;-\;H(x)u^{m^*-1}\;=\;0$, u > 0 in $\mathbb{R}^n$ $u\;{\rightarrow}\;0\;as\;|x|\;{\rightarrow}\;{\infty}$, where m $\in$ (1, n) is a positive number and $m^*\;:=\;\frac{mn}{n-m}\;>\;0$, is the corresponding critical Sobolev embedding number in $\mathbb{R}^n$. Under appropriate conditions on the functions V(x), f(x, u) and H(x), existence and non-existence results of positive solutions have been established.

• East Asian mathematical journal
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• v.31 no.3
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• pp.337-344
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• 2015

We study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form $\bar{M}$ (c) equipped with a semi-symmetric non-metric connection subject such that the structure vector field of $\bar{M}$ (c) belongs to the screen distribution S(TM). The main result is a non-existence theorem for such half lightlike submanifolds.

• Kyungpook Mathematical Journal
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• v.55 no.4
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• pp.997-1030
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• 2015

This paper is concerned with integral type boundary value problems of second order singular differential equations with quasi-Laplacian on whole lines. Sufficient conditions to guarantee the existence and non-existence of positive solutions are established. The emphasis is put on the non-linear term $[{\Phi}({\rho}(t)x^{\prime}(t))]^{\prime}$ involved with the nonnegative singular function and the singular nonlinearity term f in differential equations. Two examples are given to illustrate the main results.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.251-261
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• 2010

This paper deals with a predator-prey model with Holling type III response function and cross-diffusion subject to the homogeneous Neumann boundary condition. We first give a priori estimates (positive upper and lower bounds) of positive steady states. Then the non-existence and existence results of non-constant positive steady states are given as the cross-diffusion coefficient is varied, which means that stationary patterns arise from cross-diffusion.

• Kyungpook Mathematical Journal
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• v.49 no.3
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• pp.507-520
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• 2009

The object of the present paper is to study conformally at almost pseudo Ricci symmetric manifolds. The existence of a conformally at almost pseudo Ricci symmetric manifold with non-zero and non-constant scalar curvature is shown by a non-trivial example. We also show the existence of an n-dimensional non-conformally at almost pseudo Ricci symmetric manifold with vanishing scalar curvature.

• Lingua Humanitatis
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• v.5
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• pp.93-106
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• 2003

Professor Daihyun Chung has recently presented an intriguing view of Ban-mal(non-honorific expressions) in Korean. He criticizes uses of Ban-mal, on the grounds that they presuppose the existence of hierarchical structures in human beings. Professor Chung also advocates ″a relational theory of Ban-mal″ according to which ascriptions of 'n-mal' should be relativized to the speaker-hearer relationship. He employs this view in showing that uses of Ban-mal indeed presuppose the existence of hierarchical structures in human beings I claim that Professor Chung has not shown the credibility of his relational theory of Ban-mal, and that this very view leads to an unintended and undesirable consequence. Moreover, 1 show that even if we assume that this view is true for the sake of an argument, he is not able to show that uses of Ban-mal indeed presuppose the existence of hierarchical structures. All he can show is rather that uses of 'Ban-mal'(a meta-linguistic expression) presuppose the existence of hierarchical structures. Finally, 1 conclude that what really presupposes the existence of hierarchical structures is the asymmetrical uses of Ban-mal and honorific expressions.

• Journal of Distribution Science
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• v.14 no.10
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• pp.59-72
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• 2016

Purpose - This study expands the corporate social responsibility (CSR) model and concepts by adding to it the concepts of corporate identity and public existence responsibility. Then, this study examines the structural relationship between corporate identity and public existence responsibility. This study contributes to expanding CSR to give customers a different perspective from previous studies in that it specifically measures corporate public existence responsibility, corporate identity, and corporate value creation and investigates the structural relationship. Research design, data, and methodology - This study addresses specific research questions. First, it asks whether non-financial performance is a component of CSR; second, it asks if the improvement in the corporate image should be treated as its corporate identity; and third, it tries to expand CSR concepts from corporate citizenship and public market awareness to public existence responsibility. The research hypothesis is formulated to confirm the relationships among CSR, corporate value creation, corporate identity, and public existence responsibility. Result - This study confirms that CSR has a positive correlation with corporate value creation and that CSR has a relatively positive correlation with corporate identity and public existence responsibility. Additionally, it confirms a positive correlation between corporate identity and public existence responsibility. However, corporate identity and public existence responsibility do not have an effect on corporate value creation. However, the influence of public existence responsibility confirmed the influence of corporate value creation through corporate identity as a mediating variable. Conclusion - This study argues that CSR produces more general performance including both financial and non-financial performance. It also confirms that the goals and performance of CSR can substitute for corporate value creation from general performance. It further confirms that public existence responsibility includes market public awareness, corporate images, and corporate associations. It suggests that corporations should see themselves as having public existence responsibility. Further, they should devise strategies to build corporate identities that associate with corporate goals and visions. Finally, this study contributes to the expansion of perspectives on CSR theoretical concepts and goals of performance of the corporation throughout the corporate value creation process.

• Bulletin of the Korean Mathematical Society
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• v.40 no.3
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• pp.537-544
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• 2003

The non-existence is proved of continuous irreducible representations p : Gal(Q/Q) \longrightarrow GL$_2$(F$_{p}$) with Artin conductor N outside p for a few small values of p and N.N.

• The Journal of the Korea Contents Association
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• v.15 no.3
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• pp.327-335
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• 2015

This study analyzed symbolically the TV advertisement of disabled model from the point of view of the advertising communication of the consumers. Depending on the characteristics of the semiotics square of Greimas, the flow of the value of consumption of people with TV advertisement of disabled model, protective value, non-protective value, existence value, non-existence value such as ${\infty}$ re-protective value in the presence value it will move the form. The results from this study showed that SK Telecom TV ad (wheelchair basketball) is existence value, the iPhone 4 (lovers) is non-protective value, Samsung Securities (campaign) is protective value and Sonata automotive TV ad (Sonata Touchable Music Sheet) shows the non-existence value.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.75-85
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• 2011

In this paper, using the energy estimates and the bootstrap arguments, the global existence of classical solutions for a prey-predator model with non-monotonic functional response and cross-diffusion where the prey and predator both have linear density restriction is proved when the space dimension n < 10.