Abstract

, and (1.1) has nosolution for *˛**.The preceding results show that the space dimension N plays afundamental role when one seeks solutions of (1.1); in particular, thedimension N=3 is a special one, if compared with N˚4. According to thedefinition introduced by Pucci and Serrin (see [PS1; PS2]; see also [G]),we shall say that N=3 is a critical dimension for problem (1.1). Moregenerally, we shall say that a dimension N is critical for a second order

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