1,295 research outputs found

    Existence, nonexistence and multiplicity of positive solutions for singular boundary value problems involving Ο†\varphi-Laplacian

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    In this paper, we establish the results on the existence, nonexistence and multiplicity of positive solutions to singular boundary value problems involving Ο†\varphi-Laplacian. Our approach is based on the fixed point index theory. The interesting point is that a result for the existence of three positive solutions is given.Comment: This is a revised version of the manuscript which was submitted to a journa

    Collider probes of singlet fermionic dark matter scenarios for the Fermi gamma-ray excess

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    We investigate the collider signatures of the three benchmark points in the singlet fermionic dark matter model. The benchmark points, which were introduced previously to explain the Fermi gamma-ray excess by dark matter (DM) pair annihilation at the Galactic center, have definite predictions for future collider experiments such as the International Linear Collider and the High-Luminosity LHC. We consider four collider observables: (1) Higgs signal strength (essentially hZZhZZ coupling), (2) triple Higgs coupling, (3) exotic Higgs decay, and (4) direct production of a new scalar particle. The benchmark points are classified by the final states of the DM annihilation process: a pair of bb quarks, SM-like Higgs bosons, and new scalar particles. Each benchmark scenario has detectable new physics signals for the above collider observables that can be well tested in the future lepton and hadron colliders.Comment: 14 pages, 1 figure, 1 tabl

    Multiple Solutions for a P-Laplacian System with Nonlinear Boundary Conditions

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    A nonlinear elliptic problem involving p-Laplacian and nonlinear boundary condition is considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameter is small enough

    Gluino Stransverse Mass

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    We introduce a new observable, 'gluino stransverse mass', which is an application of the Cambridge mT2m_{T2} variable to the process where gluinos are pair produced in proton-proton collision and each gluino subsequently decays into two quarks and one LSP, $i.e. \tilde{g}\tilde{g} \to qq\tilde\chi_1^0\ qq\tilde\chi_1^0$. We show that the gluino stransverse mass can be utilized to measure the gluino and the lightest neutralino masses separately, and also the (1st and 2nd generation) squark masses if lighter than the gluino mass, thereby providing a good first look at the pattern of sparticle masses experimentally.Comment: Typos corrected, Some discussions and one reference adde

    M_T2-assisted on-shell reconstruction of missing momenta and its application to spin measurement at the LHC

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    We propose a scheme to assign a 4-momentum to each WIMP in new physics event producing a pair of mother particles each of which decays to an invisible weakly interacting massive particle (WIMP) plus some visible particle(s). The transverse components are given by the value that determines the event variable M_T2, while the longitudinal component is determined by the on-shell condition on the mother particle. Although it does not give the true WIMP momentum in general, this M_T2-assisted on-shell reconstruction of missing momenta provides kinematic variables well correlated to the true WIMP momentum, and thus can be useful for an experimental determination of new particle properties. We apply this scheme to some processes to measure the mother particle spin, and find that spin determination is possible even without a good knowledge of the new particle masses.Comment: 11 pages, 10 figures, typos are corrected, figures are replace

    Global Continuum and Multiple Positive Solutions to a P-Laplacian Boundary-Value Problem

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    A p-Laplacian boundary-value problem with positive nonlinearity is considered. The existence of a continuum of positive solutions emanating from (lambda, u) = (0, 0) is shown, and it can be extended to lambda = infinity. Under an additional condition on the nonlinearity, it is shown that the positive solution is unique for any lambda \u3e 0; thus the continuum C is indeed a continuous curve globally defined for all lambda \u3e 0. In addition, by the upper and lower solutions method, existence of three positive solutions is established under some conditions on the nonlinearity

    Exact multiplicity of positive solutions for a p-Laplacian equation with positive convex nonlinearity

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    A p-Laplacian nonlinear elliptic equation with positive and p-superlinear nonlinearity and Dirichlet boundary condition is considered. We first prove the existence of two positive solutions when the spatial domain is symmetric or strictly convex by using a priori estimates and topological degree theory. For the ball domain in R-N with N \u3e= 4 and the case that 1 \u3c p \u3c 2, we prove that the equation has exactly two positive solutions when a parameter is less than a critical value. Bifurcation theory and linearization techniques are used in the proof of the second result. (C) 2015 Elsevier Inc. All rights reserved

    Positive Steady State Solutions of a Diffusive Leslie-Gower Predator-Prey Model with Holling Type II Functional Response and Cross-Diffusion

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    In this paper we consider a diffusive Leslie Gower predator prey model with Holling type II functional response and cross-diffusion under zero Dirichlet boundary condition. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, uniqueness and multiplicity of positive steady states solutions under certain conditions on the parameters

    Measuring the top quark mass with m_T2 at the LHC

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    We investigate the possibility to measure the top quark mass using the collider variable mT2m_{T2} at the LHC experiment. Monte Carlo studies of mT2m_{T2} are performed with the events corresponding to the dilepton decays of ttΛ‰t\bar{t} produced at the LHC with 10 fbβˆ’1fb^{-1} integrated luminosity. Our analysis suggests that the top quark mass can be determined by the mT2m_{T2} variable alone with a good precision at the level of 1 GeV.Comment: 10 pages, 4 figure
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