Showing math.APShow all
3 papers · 1 filter
math.AP2005
A simplification of the proof of the existence of the extremal function for the Moser-Trudinger inequality
Yuxiang Li
In a previous paper, the author proved the existence of extremal function for the Moser-Trudinger inequality on a compact manifold. In the this paper, we will give a new proof of o…
math.AP2005
Bubbling location for -harmonic maps and Inhomogeneous Landau-Lifshitz equations
Yuxiang Li, Youde Wang
Let be a positive smooth function on a close Riemann surface (M,g). The of a map from to a Riemannian manifold is defined as $$E_f(u)=\int_Mf|\nabla…
math.AP2005
Remarks on the Extremal Functions for the Moser-Trudinger Inequalities
Yuxiang Li
We will show in this paper that if is very close to 1, then $$I(M,λ,m)= \sup_{u\in H^{1,n}_0(M) ,\int_M|\nabla u|^ndV=1}\int_Ω(e^{α_n |u|^\frac{n}{n-1}}-λ\sum\limits_{k=1}^m\fr…