  The detection of Gamma Ray Burst GRB990705 on 1999, July 5.66765 UT, pointing
to the Large Magellanic Clouds, suggested the search for a possible neutrino
counterpart, both in coincidence with and slightly before (or after) the photon
burst. We exploited such a possibility by means of the LVD neutrino telescope
(National Gran Sasso Laboratory, Italy), which has the capability to study
low-energy cosmic neutrinos. No evidence for any neutrino signal, over a wide
range of time durations, has been found, at the occurrence of GRB990705. Due to
the lack of information about both the source distance and its emission
spectrum, the results of the search are expressed in terms of upper limits, at
the Earth, to the antineutrino flux $\cdot$ cross-section, integrated over
different time durations. Moreover, assuming thermal antineutrino spectra at
the source, upper limits to the antineutrino flux, integrated over time
duration, for different spectral temperatures, are obtained. Based on these
limits and on the expectations for neutrino emission from collapsing
astrophysical objects, the occurrence of a gravitational stellar collapse can
be excluded up to a distance r approximately 50 kpc, in the case of time
coincidence with GRB990705, and r approximately 20 kpc, for the 24 hours
preceding it.
