Abstract
AbstractWe investigate splitting-type variational problems with some linear growth conditions. For balanced solutions of the associated Euler–Lagrange equation, we receive a result analogous to Bernstein’s theorem on non-parametric minimal surfaces. Without assumptions of this type, Bernstein’s theorem cannot be carried over to the splitting case, which follows from an elementary counterexample. We also include some modifications of our main theorem.
Funder
Universität des Saarlandes
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献