数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (3): 266-272.
沈尧天1, 郭信康2
Shen Yaotian1, Guo Xinkang2
摘要: This paper is concerned with the regularity of minimum solution u of the following functional
L(u)=∫0aαβ(x)gij(u)DauiDβvidx
on the restraint E={u∈W01,2(Ω,RN)||u|Lp=1}Under appropriate conditions, the bounded minimum solution u of the above functional is proved to be nothing but Hölder continuous.