Minimal graphs and differential inclusions
نویسندگان
چکیده
In this paper, we study the differential inclusion associated with minimal surface system for two-dimensional graphs in R2+n. We prove regularity of W1,2 solutions and a compactness result approximate W1,p. Moreover, make perturbation argument to infer that every R > 0, there exists α(R)>0 such R-Lipschitz stationary points functionals α-close C2 norm area functional are always regular. also use counterexample B. Kirchhem (2003) show existence irregular critical inner variations functional.
منابع مشابه
minimal, vertex minimal and commonality minimal cn-dominating graphs
we define minimal cn-dominating graph $mathbf {mcn}(g)$, commonality minimal cn-dominating graph $mathbf {cmcn}(g)$ and vertex minimal cn-dominating graph $mathbf {m_{v}cn}(g)$, characterizations are given for graph $g$ for which the newly defined graphs are connected. further serval new results are developed relating to these graphs.
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2021
ISSN: ['1532-4133', '0360-5302']
DOI: https://doi.org/10.1080/03605302.2020.1871367