Moser-Trudinger and logarithmic HLS inequalities for systems
Itai Shafrir, Gershon Wolansky (2005)
Journal of the European Mathematical Society
Similarity:
We prove several optimal Moser–Trudinger and logarithmic Hardy–Littlewood–Sobolev inequalities for systems in two dimensions. These include inequalities on the sphere , on a bounded domain and on all of . In some cases we also address the question of existence of minimizers.