• Bulletin of the Korean Mathematical Society
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• v.58 no.2
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• pp.385-401
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• 2021

We prove existence and regularity results of solutions for a class of nonlinear singular elliptic problems like $$\{-div\((a(x)+{\mid}u{\mid}^q){\nabla}u\)=\frac{f}{{\mid}u{\mid}^{\gamma}}{\text{ in }}{\Omega},\\{u=0\;on\;{\partial}{\Omega},$$ where Ω is a bounded open subset of ℝℕ(N ≥ 2), a(x) is a measurable nonnegative function, q, �� > 0 and the source f is a nonnegative (not identicaly zero) function belonging to Lm(Ω) for some m ≥ 1. Our results will depend on the summability of f and on the values of q, �� > 0.

• Journal of the Korean Professional Engineers Association
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• v.19 no.3
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• pp.23-30
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• 1986

This study summarizes the results of tests on 18 two-slab push out specimens. The main purpose of tile survey was to evaluate the capacity and behavior of stud shear connectors embedded in high strength normal concrete (F$\sub$c/=260～390kg/$\textrm{cm}^2$). The normal concrete was made with crushed stones and natural sand near the Han River. Two different diameters (ø19mm, ø16 mm) of stud shear connectors were used for push out specimens. The following conclusions were drawn from this study. 1) The shear strength of stud connectors embedded in high strength concrete (F$\sub$c/=260～390kg/$\textrm{cm}^2$) was influenced by tensile stress of the stud shear connectors. The following empirical function described the test results: q$\sub$u/=0.5A$\sub$s/√F$\sub$c/E$\sub$c/$\leq$0.7A$\sub$u/F$\sub$u/ 2) The maximum load in this study was reached at slips varying from 2.5～6mm.

• Communications of the Korean Mathematical Society
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• v.27 no.1
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• pp.129-135
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• 2012

The aim of this paper is to establish the well-known and very useful classical Saalsch$\ddot{u}$tz's theorem for the series $_3F_2$(1) by following a different method. In addition to this, two summation formulas closely related to the Saalsch$\ddot{u}$tz's theorem have also been obtained. The results established in this paper are further utilized to show how one can obtain certain known and useful hypergeometric identities for the series $_3F_2$(1) and $_4F_3(1)$ already available in the literature.

• Kyungpook Mathematical Journal
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• v.46 no.2
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• pp.219-229
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• 2006

Using the integral average method, we establish some oscillation criteria for the nonlinear differential equation with damped term $$a(t)|{x}^{\prime}(t)|^{\sigma-1}{x}^{\prime}(t)^{\prime}+p(t)|{x}^{\prime}(t)|^{\sigma-1}{x}^{\prime}(t)+q(t)f(x(t))=0,\;{\sigma}>1$$, where the functions $a,\;p$ and $q$ are real-valued continuous functions defined on $[t_o,{\infty})$ with $a(t)>0,\;f(x){\in}C^1(\mathbb{R})$ and $\frac{f^{\prime}(u)}{|f^{({\sigma}-1)/{\sigma}}(u)|}{\geq}k>0$ for $u{\neq}0$.

• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.617-622
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• 2021

Let R be a commutative ring with identity, R[X] the polynomial ring over R and S a multiplicative subset of R. Let U = {f ∈ R[X] | f is monic} and let N = {f ∈ R[X] | c(f) = R}. In this paper, we show that if S is an anti-Archimedean subset of R, then R is an S-Noetherian ring if and only if R[X]_U is an S-Noetherian ring, if and only if R[X]_N is an S-Noetherian ring. We also prove that if R is an integral domain and R[X]_U is an S-principal ideal domain, then R is an S-principal ideal domain.

• Nonlinear Functional Analysis and Applications
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• v.26 no.5
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• pp.985-994
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• 2021

The object of this paper is to study non-invariant hypersurface of a (𝜖, 𝛿)-trans Sasakian manifolds equipped with (f, g, u, v, λ)-structure. Some properties obeyed by this structure are obtained. The necessary and sufficient conditions also have been obtained for totally umbilical non-invariant hypersurface with (f, g, u, v, λ)-structure of a (𝜖, 𝛿)-trans Sasakian manifolds to be totally geodesic. The second fundamental form of a non-invariant hypersurface of a (𝜖, 𝛿)-trans Sasakian manifolds with (f, g, u, v, λ)-structure has been traced under the condition when f is parallel.

• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.757-780
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• 2022

In this article, we study the weak and extra-weak type integral inequalities for the modified integral Hardy operators. We provide suitable conditions on the weights ω, ρ, φ and ψ to hold the following weak type modular inequality $${\mathcal{U}}^{-1}\({\int_{{\mid}{\mathcal{I}}f{\mid}>{\gamma}}}\;{\mathcal{U}}({\gamma}{\omega}){\rho}\){\leq}{\mathcal{V}}^{-1}\({\int}_{0}^{\infty}{\mathcal{V}}(C{\mid}f{\mid}{\phi}){\psi}\),$$ where ${\mathcal{I}}$ is the modified integral Hardy operators. We also obtain a necesary and sufficient condition for the following extra-weak type integral inequality $${\omega}\(\{{\left|{\mathcal{I}}f\right|}>{\gamma}\}\){\leq}{\mathcal{U}}{\circ}{\mathcal{V}}^{-1}\({\int}_{0}^{\infty}{\mathcal{V}}\(\frac{C{\mid}f{\mid}{\phi}}{{\gamma}}\){\psi}\).$$ Further, we discuss the above two inequalities for the conjugate of the modified integral Hardy operators. It will extend the existing results for the Hardy operator and its integral version.

• The Journal of Art Theory & Practice
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• no.1
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• pp.145-168
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• 2003

Im 18. Jahrhundert stritt man urn allgemeing$\"{u}$ltige Kriterien f$\"{u}$r die Kunstkritik, welche ebenda aufzubl$\"{u}$hen begann. Im Zentrum dieser Auseinandersetzung, die uns als "Laokoon-streit" bekannt ist, befanden sich Johann Joachim Winckelmann einerseits und ein franz$\"{o}$sischer Bildhauer Etienne-Maurice Falconet(1716-1791) andererseits. Die beiden waren von ganz unterschiedlichen Kunstideen $\"{u}$berzeugt. Obwohl sie niemals zusammentraf, fielen sie in eine heftige schriftliche Diskussion. Wie bekannt, vertrat Winckelmann den aufkommenden Klassizismus. Er setzte die griechische Kunst auf die h$\"{o}$chste Rangstufe auf und bezeichnet sie als Tr$\"{a}$ger der sogenannten "edlen Einfalt und stillen Gr$\"{o}{\beta}$e, die sonst in der Natur verborgen bleibe. Nach Winckelmann sollte der K$\"{u}$nstler die griechischen Vorbilder wie Apollo von Belvedere und Laokoon nachahmen, um das wesentlich Sch$\"{o}$ne zu erlernen. Falconet $\"{u}$bte eine scharfe Kritik gegen die Meinung Winckelmanns und die Diletantismus in der Kunstkritik aus. Selbst als Theoretiker warf er vor, dass die Klassizisten um ihr dogmatisch struktuiertes Lehrgeb$\"{a}$ude willen alle andere Eigenschaften der Kunst sowie Kunstwerke $\"{u}$bersahen und ihre Apotheose der klassischen Kunst auf die Entwicklung der Kunst eher als Hindernis wirkte. Im besonderen Hinblick auf den Ausdruck der menschlichen Leidenschaft distanzierte Falconet sich von der Lehrmeinung des Klassizismus, n$\"{a}$mlich Zur$\"{u}$ckhaltung derselben Leidenschaft wegen der idealen Sch$\"{o}$nheit. Vor dem Laokoon teilten Falconet und die Klassizisten ihre Meinung un$\"{u}$berbr$\"{u}$ckbar voneinander. F$\"{u}$r diese war der Laokoon die Repr$\"{a}$sentation des erhabenen Menschen, der leidet, ohne seinen Affekt zu enth$\"{u}$llen. Im Gegensatz sah Falconet in demselben Werk einen erlungenen Ausdruck des menschlichen Gef$\"{u}$hls. Sein Deb$\"{u}$twerk ist also die Visualisierung seiner Kunstauffassung. Unter Einfluss Pierre Pugets sowie seines Lehrers Jean-Baptiste Lemoyne bem$\"{u}$ht er sich darum, den Ausdruck der menschlichen Leidenschaft durch kunsttechnische Leistung und wissenschaftliche Forschung zu erstarken. Daraus ergab sich die expressive Ausdrucksform des Affekts. In diesem Fall verband sich Falconet mit der Tradition des barocken Kunstwollens, aber er ging einen Schritt weiter, indem er die Ausdrucksweise noch realistischer und lebendiger zu machen vermag. Faconet war vielleicht der einzige K$\"{u}$nstler, der Vorteile det barocken Kunst ausnut zen konnte, ohne dabei die klassische und realistische Formensprache zu verlieren. Dutch sein Werk und seine theoretischen Schriften er$\"{o}$ffnete er neue Prinzipien sowohl f$\"{u}$r die Kunstpraxis als auch f$\"{u}$r die Kunstkritik, deren wesentliche Sinn jedoch erst in der Romantik anerkannt wurde.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.30 no.4
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• pp.449-454
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• 1985

In order to search for the semi-dwarf japonica varieties allelic to the semi-dwarf rice cultivar which is controlled by d-t gene, seven dwarf japonica varieties. Reimei, Hoyoku. Shiranui, Kokumasari, M 7. S.224 and S.295 were crossed to the semi-dwarf cultivar, wx 817. wx 817 is known to have semi-dwarf gene d-t. Their F$_1$, F$_2$ and F$_3$ were grown in 1984 and 1985 and culm lengths were measured at harvest. The results are summarized as follows. 1. The F$_2$s of all 7 cross combinations showed normal distribution and no segregation. 2. The range of culm length variation in the F$_3$ was variable depending on the cross combination, but the general pattern was similar in the all 7 crosses. 3. The mean of F$_3$ and parental F$_2$ mean which were selected into short, medium and tall groups were similar and showed no segregation, implying the selection efficiency in F$_2$. 4. From the results of F$_2$ and F$_3$ segregations, it is concluded that the culm length of the 7 semi-dwarf japonicas tested here are controlled by the same major gene d-t although they are modified by different minor genes.

• Journal of applied mathematics & informatics
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• v.34 no.3_4
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• pp.269-284
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• 2016

In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).