A uniqueness result for a class of non-strictly convex variational problems

作者：Lussardi Luca^*; Mascolo Elvira

来源：Journal of Mathematical Analysis and Applications, 2017, 446(2): 1687-1694.

DOI：10.1016/j.jmaa.2016.09.060

• Lipschitz functions
• Level sets

Let Omega be a smooth domain in R-2, we prove that if g: [0, +infinity) -> [0, +infinity] is convex with g(0) < g(t) whenever t > 0 then there exists an unique minimizer u is an element of C-0,C-1(Omega) of the functional u -> integral(Omega) g(vertical bar del u vertical bar) dxdy among all Lipschitz-continuous functions that assume the same value of u on partial derivative Omega.

• 出版日期2017-2-15