# Browsing Journal Articles by Title

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• (European Mathematical Society, 2017)
• (European Mathematical Society, 2018-04)
In this note, we discuss the isolatedness, simplicity and nodal estimate for the first eigenvalue of fractional Laplacian of Kirchhoff type. This work is motivated by the recent works on the fractional eigenvalues.
• (Elsevier, 2014-10)
A collection of static and mobile radiation sensors is tasked with deciding, within a fixed time interval, whether a moving target carries radioactive material. Formally, this is a problem of detecting weak time-inhomogeneous ...
• (Department of Mathematics, 2020-12)
• (Texas State University, Department of Mathematics, 2011-11)
By the method of monotone iteration and Schauder fixed point theorem, we prove the existence of non-negative solutions to the system = for λ sufficiently small, where is a bounded domain in RN with smooth boundary ∂Ω and ...
In this paper we study the existence of solutions to the following semilinear elliptic problem TeX where TeX is an open bounded subset of TeX and TeX The special feature of this problem is that it has singularity at the ...
• (Mathematical Society of the Republic of China, 2017-04)
In this article, we study the existence and multiplicity of nontrivial solutions to the problem    − 2F(x, D2u) = f(x, u) + ψ(Du) in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain in R n, n > 2. We show ...
• (Elsevier, 2020-08)
In this paper, we consider the Keller-Segel chemotaxis system with additional cross-diffusion term in the second equation. This system is consisting of a fully nonlinear reaction-diffusion equations with additional ...
• (Springer, 2022-06)
An exact transformation, which we call the master identity, is obtained for the first time for the series ∑∞n=1σa(n)e-ny for a∈C and Re(y)>0. New modular-type transformations when a is a nonzero even integer are obtained ...
• (De Gruyter, 2021-03)
• (Institute of Mathematics and Informatics, 2020-06)
The aim of this paper is to establish singular fractional Adams–Moser–Trudinger inequality for both bounded and unbounded domains in the Heisenberg group We first establish fractional Adams–Moser–Trudinger type inequality ...
• (Elsevier, 2021-05)
• (American Mathematical Society, 2019-05)
In this article, we prove that the Gelfand-Kirillov dimension of the quantized algebra of regular functions on certain homogeneous spaces of types $A$, $C$, and $D$ is equal to the dimension of the homogeneous space as ...
• (The Mathematical Society of the Republic China, 2013-01)
The goal of this paper is to show a generalization to Sturm--Picone theorem for a pair of second-order nonlinear differential equations (p_1(t)x'(t))'+ q_1(t)f_{1}(x(t))=0. (p_2(t)y'(t))'+ q_2(t)f_{2}(y(t))=0, ...
• (Springer, 2021-10)
George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third-order mock theta functions ω(q) and ν(q), thereby extending their earlier results with the second author. ...
• (Cambridge University Press, 2019-02)
It is pointed out that the generalized Lambert series studied by Kanemitsu, Tanigawa and Yoshimoto can be found on page 332 of Ramanujan's Lost Notebook in a slightly more general form. We extend an important transformation ...
• (Nagoya University, 2020-09)
• (Elsevier, 2018-03)
A new generalization of the modified Bessel function of the second kind is studied. Elegant series and integral representations, a differential-difference equation and asymptotic expansions are obtained for it thereby ...
• (Elsevier, 2020-03)
Recently Dixit, Kesarwani, and Moll introduced a generalization of the modified Bessel function and showed that it satisfies an elegant theory similar to that of . In this paper, we show that while is an elementary ...
• (Elsevier, 2012-06)
In this note, we show the existence of a global positive solution for a class of first-order delay differential equations: x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0.x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0. Turn MathJax on In this study, ...