A theory is presented to describe the heat-flux radiated in near-field regime by a set of interacting nanoemitters held at different temperatures in vacuum or above a solid surface. We show that this thermal energy can be focused and even amplified in spots that are much smaller than those obtained with a single thermal source. We also demonstrate the possibility to locally pump heat using specific geometrical configurations. These many body effects pave the way to a multi-tip near-field scanning thermal microscopy which could find broad applications in the fields of nanoscale thermal management, heat-assisted data recording, nanoscale thermal imaging, heat capacity measurements and infrared spectroscopy of nano-objects. PACS numbers: 44.40.+a, 05.40.-a, 03.50.DeHeat flux focusing radiated by a hot object at temperature T is limited in far-field regime by the diffraction to λ th /2 where λ th = c/k B T is the thermal wavelength associated to this source. However at subwavelength distance from the source the situation can radically change. The near-field scanning themal microscope (SThM) [1][2][3][4][5] which is the non-contact version of conventional scanning thermal microscope (STM) [6,7] can achieve a local heating at submicrometric scale with heat sources close to the ambiant temperature using the tunneling of non-radiative thermal photons (i.e. evanescent waves). This near-field technology is among others the current paradigm of hard-disk-drive writing technology which is based on the so called heat-assisted magnetic recording [8,9].