Starshapedeness for fully non‐linear equations in Carnot groups
نویسندگان
چکیده
منابع مشابه
2 00 3 The comparsion principle for viscosity solutions of fully nonlinear subelliptic equations in Carnot groups
For any Carnot group G and a bounded domain Ω ⊂ G, we prove that viscosity solutions in C(Ω̄) of the fully nonlinear subelliptic equation F (u,∇hu,∇ 2 hu) = 0 are unique when F ∈ C(R×R×S(m)) satisfies (i) F is degenerate subelliptic and decreasing in u or (ii) F is uniformly subelliptic and nonincreasing in u. This extends Jensen’s uniqueness theorem from the Euclidean space to the sub-Riemannia...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2018
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms.12198