Let (M,g,σ) be a compact Riemannian spin manifold of dimension m≥2, let S(M) denote the spinor bundle on M, and D Atiyah-Singer Dirac operator acting spinors ψ:M→S(M). We study existence solutions nonlinear equation with critical exponent(NLD)Dψ=λψ+f(|ψ|)ψ+|ψ|2m−1ψ where λ∈R f(|ψ|)ψ is subcritical nonlinearity in sense that f(s)=o(s2m−1) as s→∞. A model f(s)=αsp−2 2<p<2mm−1, α∈R. In particular ...

The main purpose of this paper was to consider new sandwich pairs and investigate the existence a solution for class fractional differential equations with p-Laplacian via variational methods in ψ-fractional space Hpα,β;ψ(Ω). results obtained are first make use theory ψ-Hilfer operators p-Laplacian.

The Institute of High Energy Physics at Beijing runs an electron-positron collider (BEPC) with a general purpose solenoidal detector, the Beijing Spectrometer (BES)[1], which is designed to study exclusive final states in ee annihilations at the center of mass energy from 3000 to 5600 MeV. In this energy range, the largest cross sections are at the J/Ψ(3097) and Ψ(3686) resonant peaks. At prese...

A bstract Using proton-proton collision data, corresponding to an integrated luminosity of 9 fb − 1 collected with the LHCb detector, seven decay modes $$ {\mathrm{B}}_{\mathrm{c}}^{+} Bc+ meson into a J / ψ or ψ(2S) and three charged hadrons, kaons p...

We provide a political-economy analysis of crime prevention in an arbitrary city the United States. City residents (voters) elect mayors (politicians) and elected determine resources to be allocated prevention. Between two time periods, there is election. Politicians are either honest or dishonest. The marginal cost public monies ψ measures how efficiently mayor converts tax receipts into Voter...

In the present manuscript, we introduce concept of a discrete dynamical system (Ⱬ,Ψ) in BCK-algebra where Ⱬ is and Ψ homomorphism from to establish some their related properties. We prove that set all fixed points periodic are BCK-subalgebras. show when subset invariant concerning Ψ. commutative with relative cancellation property ideals Ⱬ. also an S-invariant