We study the existence of sign-changing solutions for following supercritical problem with variable exponent and logarithmic nonlinearity$ \begin{equation*} \left\{ \begin{aligned} - \Delta u& = |u|^{2^{*}-2} u\big( \ln( \tau +|u|) \big)^{ |x|^{\beta} } & \ \mbox{in} B_{1}, \\ 0 \mbox{on} \partial \end{aligned} \right. \end{equation*} $where $ B_{1} is unit ball in \mathbb{R}^{N} $, N\g...

To the Editor, On the other hand, the effects of length-dependent activation on myocardial function manifest significantly later, I appreciate the excellent points raised by Leite-Moreira et occurring several minutes after the initial change in muscle al. regarding my manuscript examining the load sensitivity length [6,7]. This is well beyond the time period examined of left ventricular (LV) re...

To the Editor, On the other hand, the effects of length-dependent activation on myocardial function manifest significantly later, I appreciate the excellent points raised by Leite-Moreira et occurring several minutes after the initial change in muscle al. regarding my manuscript examining the load sensitivity length [6,7]. This is well beyond the time period examined of left ventricular (LV) re...

in this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. some new positive periodic criteria are given.

We propose a leptoquark model with two scalar leptoquarks $S^{}_1 \left( \bar{3},1,\frac{1}{3} \right)$ and $\widetilde{R}^{}_2 \left(3,2,\frac{1}{6} to give combined explanation of neutrino masses, lepton flavor mixing the anomaly muon $g-2$, satisfying constraints from radiative decays charged leptons. The masses are generated via one-loop corrections resulting between $S^{}_1$ $\widetilde{R}...

Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.

In this paper, we consider inclusion relations of $CW_{\omega _{1},\omega
 _{2},\omega _{3},\omega _{4}}^{p,q,r,s,\tau }\left( 
 %TCIMACRO{\U{211d} }%
 %BeginExpansion
 \mathbb{R}
 %EndExpansion
 \right) $ spaces functions whose Wigner transforms are in weighted
 Lebesgue spaces. We then discuss compact embeddings theorems between these
 function

The paper is concerned with a chemotaxis system indirect signal absorption and signal-dependent motility$ \begin{equation*} \left\{ \begin{array}{lll} u_t = \Delta(\gamma(v)u), &x \in \Omega, t>0,\\ v_t \Delta v - vw, &x\in \tau w_t -\delta w+u, t>0, \end{array} \right. \end{equation*} $under the homogeneous Neumann boundary condition, where $ \Omega\subset R^n (n \geq 1) $, param...

the aim of this note is to study the submajorization inequalities for $tau$-measurable operators in a semi-finite von neumann algebra on a hilbert space with a normal faithful semi-finite trace $tau$. the submajorization inequalities generalize some results due to zhang, furuichi and lin, etc..