Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds
نویسندگان
چکیده
منابع مشابه
Complex Hessian Equations on Some Compact Kähler Manifolds
On a compact connected 2m-dimensional Kähler manifold with Kähler form ω, given a smooth function f : M → R and an integer 1 < k < m, we want to solve uniquely in ω the equation ω̃ ∧ωm−k eω, relying on the notion of k-positivity for ω̃ ∈ ω the extreme cases are solved: k m by Yau in 1978 , and k 1 trivially . We solve by the continuity method the corresponding complex elliptic kthHessian equation...
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ژورنال
عنوان ژورنال: Journal of Mathematical Study
سال: 2021
ISSN: 1006-6837,2617-8702
DOI: 10.4208/jms.v54n2.21.04