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...

natural hazards such as earthquakes have threatened the life of human beings during the history.as a consequence, the vibration mitigation of structures has caught great importance. activecontrol of structures is one of the rapidly emerging areas in the concept of structural control. thispaper presents a control method to deal with this subject when the dynamics of the structure ishysteretic an...

before a president practically begins his four-year term of office in iran, a formal inaugural ceremony is held in the parliament. being attended by national dignitaries and representatives from other countries, the inauguration of iran's seventh president, hasan rouhani, was spectacular in several respects. the current study aimed at investigating the generic structure and rhetorical move...

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...

in this paper we introduce the concept of dirac structures on (hermitian) modules and vectorbundles and deduce some of their properties. among other things we prove that there is a one to onecorrespondence between the set of all dirac structures on a (hermitian) module and the group of allautomorphisms of the module. this correspondence enables us to represent dirac structures on (hermitian)mod...