Best constants in some exponential Sobolev inequalities
Best constants in some exponential Sobolev inequalities
A Pohozaev identity is used to classify the radial solutions of a quasilinear equation with exponential nonlinearity. The results are applied to find the infimum of the non-local functional F(?,u)=1n?O|?u|ndx-?F(?Oeudx),u?W01,n(O), for various nonlinearities F , where O is a bounded domain of Rn and ? a real parameter. Our results …