• 충청수학회지
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• 제31권4호
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• pp.429-460
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• 2018

Let us consider that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and ${\mathcal{A}}({\mathbb{K}})$ be the ${\mathbb{K}}-algebra$ of entire functions on ${\mathbb{K}}$. In this paper we introduce the notions of (p, q)-th relative order and (p, q)-th relative type of p adic entire functions where p and q are any two positive integers and then study some growth properties of composite p adic entire functions in the light of their (p, q)-th relative order and (p, q)-th relative type. After that we show that (p, q) th relative order and (p, q)-th relative type are remain unchanged for derivatives under some certain conditions.

• 대한수학회지
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• 제56권6호
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• pp.1529-1560
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• 2019

We are concerned with the following elliptic equations: $$(-{\Delta})^s_pu+V (x){\mid}u{\mid}^{p-2}u={\lambda}g(x,u){\text{ in }}{\mathbb{R}}^N$$, where $(-{\Delta})_p^s$ is the fractional p-Laplacian operator with 0 < s < 1 < p < $+{\infty}$, sp < N, the potential function $V:{\mathbb{R}}^N{\rightarrow}(0,{\infty})$ is a continuous potential function, and $g:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ satisfies a $Carath{\acute{e}}odory$ condition. We show the existence of at least one weak solution for the problem above without the Ambrosetti and Rabinowitz condition. Moreover, we give a positive interval of the parameter ${\lambda}$ for which the problem admits at least one nontrivial weak solution when the nonlinearity g has the subcritical growth condition.

• 대한수학회보
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• 제51권5호
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• pp.1241-1257
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• 2014

We consider a class of hypoelliptic operators of the following type $$L=\sum_{i,j=1}^{p_0}a_{ij}{\partial}^2_{x_ix_j}+\sum_{i,j=1}^{N}b_{ij}x_i{\partial}_{x_j}-{\partial}_t$$, where ($a_{ij}$), ($b_{ij}$) are constant matrices and ($a_{ij}$) is symmetric positive definite on $\mathbb{R}^{p_0}$ ($p_0{\leqslant}N$). By establishing global Morrey estimates of singular integral on the homogenous space and the relation between Morrey space and weak Morrey space, we obtain the global weak Morrey estimates of the operator L on the whole space $\mathbb{R}^{N+1}$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권2호
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• pp.131-143
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• 2016

In this paper, we present some common fixed point theorems for two pairs of weakly compatible self-mappings on multiplicative metric spaces satisfying a generalized Meir-Keeler type contractive condition. The results obtained in this paper extend, improve and generalize some well known comparable results in literature.

• Nonlinear Functional Analysis and Applications
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• 제26권3호
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• pp.531-551
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• 2021

In this paper, we consider a mixed boundary value problem to a class of nonlinear operators containing p(x)-Laplacian. More precisely, we consider the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of at least three weak solutions under some hypotheses on given functions and the values of parameters.

• 대한수학회지
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• 제44권3호
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• pp.585-603
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• 2007

The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

• 대한수학회보
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• 제38권1호
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• pp.93-100
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• 2001

Author proves weak type estimates of the maximal function associated with the Bochner-Riesz means while it is claimed p=2n/(n+1+$2\delta) and 0<\delta\leq(n-1)/2$ that the maximal function is bounded on L^p-{rad}$.

• 간호행정학회지
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• 제11권2호
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• pp.129-145
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• 2005

Purpose: This research was, by investigating the relations between the cultural types of a nursing organization in military hospital and performance, to ascertain the cultural types to be able to improve performance. Method: The date were gathered from 255 nurse officers who were in 19 military hospitals by using the self-report type of questionnaire. The period of data collection was from April 20, 2003 to July 15, 2003. For this research, the following tools were used: the tools for measuring the organizational characteristics, organizational culture, and job satisfaction, the tool for measuring organizational commitment. For data analysis the SPSS Win 12.0 program was used. Result: 1) Most of the cultural types of a nursing organization in military hospital is Relation-oriented. 2) In the relation between general the characteristics of subject and the organizational cultural type, there was a difference in the innovation-oriented, relation-oriented, hierarchy-oriented, and task-oriented culture according to nurse officers careers, hospital types, year in hospital, marital status, and unit(p<0.05). 3) In the relation between general characteristics of subject and organizational performance, there was a difference in the job satisfaction, affective commitment, transactional commitment, and normative commitment according to nurse officers careers, education, madrigal status and unit(p<0.05). 4) In the relationship between the of a military hospital were correlated with the type of each culture(p=0.00), 5) In the relation between the organizational culture type of military hospital and its performance, there was a positive correlation among job satisfaction and innovation-oriented culture, relation-oriented culture, task-oriented culture(p<0.05). And hierarchy-oriented culture showed that they had a weak negative correlation with job satisfaction(p<0.05). There was a positive correlation among affective commitment and innovation-oriented culture, relation-oriented culture, task-oriented culture(p<0.05). And hierarchy-oriented culture showed that they had a weak negative correlation with affective commitment(p<0.05). There was no culture type significantly related to continuance commitment and there was a weak positive correlation among normative commitment and innovation-oriented culture, relation-oriented culture, task-oriented culture. The types to have an influence upon nurse officers' job satisfaction were relation-oriented culture and innovation-oriented culture(p=0.00). And relation-oriented culture and innovation-oriented culture were major variances for affective commitment and only relation-oriented culture was influential variance for normative commitment(p=0.00). Conclusion: The organizational culture type was found which had an influence upon nurse officers' job satisfaction and organizational commitment. These result are very significant in having showed the persons in charge of nursing administration a basic data for creation of an effective organizational culture.

• 대한수학회지
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• 제60권1호
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• pp.33-69
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• 2023

Let α ∈ (0, ∞), p ∈ (0, ∞) and q(·) : ℝⁿ → [1, ∞) satisfy the globally log-Hölder continuity condition. We introduce the weak Herz-type Hardy spaces with variable exponents via the radial grand maximal operator and to give its maximal characterizations, we establish a version of the boundedness of the Hardy-Littlewood maximal operator M and the Fefferman-Stein vector-valued inequality on the weak Herz spaces with variable exponents. We also obtain the atomic and the molecular decompositions of the weak Herz-type Hardy spaces with variable exponents. As an application of the atomic decomposition we provide various equivalent characterizations of our spaces by means of the Lusin area function, the Littlewood-Paley g-function and the Littlewood-Paley $g^*_{\lambda}$-function.

• Kyungpook Mathematical Journal
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• 제50권1호
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• pp.89-100
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• 2010

Let g = (V, E, ${\mu}$) be a weighted directed tree, where V is a vertex set, E is an edge set, and ${\mu}$ is ${\sigma}$-finite measure on V. The tree g induces a composition operator C on the Hilbert space $l^2$(V). Hand-type directed trees are defined and characterized the weak hyponormalities of such C in this note. Also some additional related properties are discussed. In addition, some examples related to directed hand-type trees are provided to separate classes of weak-hyponormal operators.