The detection of Gamma Ray Burst GRB 990705 on 1999, July 5.66765 UT, point
ing to the Large Magellanic Clouds, suggested the search for a possible neu
trino counterpart, both in coincidence with and slightly before (or after)
the photon burst. We exploited such a possibility by means of the LVD neutr
ino telescope (National Gran Sasso Laboratory, Italy), which has the capabi
lity to study low-energy cosmic neutrinos. No evidence for any neutrino sig
nal, over a wide range of time durations, has been found, at the occurrence
of GRB 990705. Due to the lack of information about both the source distan
ce and its emission spectrum, the results of the search are expressed in te
rms of upper limits, at the Earth, to the nu (e) flux cross-section, integr
ated over different time durations, integral integral Phi nu (e)sigma dEdt.
Moreover, assuming thermal nu (e) spectra at the source, upper limits to t
he nu (e) flux, integrated over time duration, for different spectral tempe
ratures, are obtained. Based on these limits and on the expectations for nu
emission from collapsing astrophysical objects, the occurrence of a gravit
ational stellar collapse can be excluded up to a distance r approximate to
50 kpc, in the case of time coincidence with GRB 990705, and r approximate
to 20 kpc, for the 24 hours preceding it.