we study a new class of $h_v$-structures called fundamentally very thin. this is an extension of the well known class of the very thin hyperstructures. we present applications of these hyperstructures.

We study a new class of $H_v$-structures called Fundamentally Very Thin. This is an extension of the well known class of the Very Thin hyperstructures. We present applications of these hyperstructures.

There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf Keywords:} multiplic...

This paper deals with the existence and multiplicity of solutions for a class Kirchhoff type elliptic systems involving nonlinearities Trudinger-Moser exponential growth. We first study following system: $$\begin{aligned} \left\{ \begin{array}{ll} -\big (a_1+b_1\Vert u\Vert ^{2(\theta _1-1)}\big )\Delta u= \lambda H_u(x,u,v) &{} \quad \text{ in }\ \ \Omega ,\\ (a_2+b_2\Vert v\Vert _2-1)}\big v=...

there are several kinds of hyperrings, for example, krasnerhyperrings, multiplicative hyperring, general hyperrings and$h_v$-rings. in a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. in this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf keywords:} multiplic...

In this article, we show the existence of positive solution to nonlocal system $$\displaylines{ (-\Delta)^s u +a(x)u=\frac{1}{2_s^*} H_u(u,v) \quad \hbox{in }\mathbb{R}^N,\cr v +b(x)v=\frac{1}{2_s^*}H_v(u,v) } \mathbb{R}^N,\cr u,v>0 \text{in u,v\in \mathcal{D}^{s,2 }(\mathbb{R}^N). }$$ We also prove a global compactness result for associated energy functionalsimilar that due Struwe in [26]. ...

We determine the valence generalized parton distributions (GPDs) $ H_v^q and E_v^q with their uncertainties at zero skewness by performing a \chi^2 analysis of world electron scattering data considering two-photon exchange corrections. The include wide updated range electric magnetic form factors (FFs) proton neutron. As result, we find that there are no enough constraints on GPDs from FFs sole...

The Weyl law of the Laplacian on flat torus $${\mathbb {T}}^n$$ is concerning number eigenvalues $$\le \lambda ^2$$ , which equivalent to counting lattice points inside ball radius $$\lambda $$ in {R}}^n$$ . leading term $$c_n\lambda ^n$$ while sharp error $$O(\lambda ^{n-2})$$ only known dimension $$n\ge 5$$ Determining lower dimensions a famous open problem (e.g. Gauss circle problem). In thi...