刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:15 February 2017
年:2017
卷:446
期:2
页码:1687-1694
全文大小:306 K
文摘
Let Ω be a smooth domain in R2, we prove that if g:[0,+∞)→[0,+∞] is convex with g(0)<g(t) whenever t>0 then there exists an unique minimizer u∈C0,1(Ω) of the functional among all Lipschitz-continuous functions that assume the same value of u on ∂Ω.