Radial solutions for equations of Weingarten type
نویسندگان
چکیده
In this paper we study the linear Weingarten equation defined by fully non-linear PDEadivDu1+|Du|2+bdetD2u(1+|Du|2)2=ϕ(11+|Du|2) in a domain Ω⊂R2, where ϕ∈C1([−1,1]) and a,b∈R. We approach existence of radial solutions when Ω is disk small radius, giving an affirmative answer PDE elliptic type. hyperbolic case show that no solution exists, while parabolic find explicitly all solutions. prove uniqueness symmetry results concerning Dirichlet problem such equation.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2023
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126575