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    Sifting the gravitational-wave universe via multimessenger astronomy: forthcoming prospects for continuous-wave detection

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    The upgrade of worldwide gravitational-wave detector network has led to the first transient gravitational-wave detection, which has started to hone the comprehension we have about our Universe and some of its constituents. A broader picture would be however provided by the detection of continuous-wave signals, which could be more easily achieved by exploiting the synergy with multimessenger Astronomy. Thanks to electromagnetic observations we may indeed be able to know, with enough accuracy, the sky location, rotational and/or orbital parameters of a broad class of rapidly-rotating neutron stars. This would allow us to perform a multitude of targeted and directed continuous-wave searches, and would facilitate narrow-band searches for the same class of signals. We will describe the prospects for detecting continuous gravitational waves, by especially employing novel strategies for neutron stars in binary systems directed to sources whose parameters have been electromagnetically estimated. Employing those methods to analyze data from the ever-more-sensitive advanced detectors will remarkably increase the chances of a continuous-wave detection

    Searching for continuous gravitational wave signals using LIGO and Virgo detectors

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    Direct and unequivocal detection of gravitational waves represents a great challenge of contemporary physics and astrophysics. A worldwide effort is currently operating towards this direction, building ever sensitive detectors, improving the modelling of gravitational wave sources and employing ever more sophisticated and powerful data analysis techniques. In this paper we review the current status of LIGO and Virgo ground based interferometric detectors and some data analysis tools used in the continuous wave searches to extract the faint gravitational signals from the interferometric noise data. Moreover we discuss also relevant results from recent continuous wave searches

    Esistenza e molteplicità per gli autovalori non lineari dell'operatore Deltag-Delta -g rispetto a due ostacoli

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    We consider the existence and the multiplicity of the eigenfunctions and of the related non linear eigenvalues for the operator - Delta - g on a bounded open subset of R" with respect to two given obstacles. We study the solutions which takes into account the values of the obstacle functions even on sets of null Lebesgue measure but of positive capacity
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