WebJun 16, 2024 · Continuity method with movable singularities for classical Monge-Ampère equations. Antonio Trusiani. On a compact Kähler manifold , we study the strong … WebTheorem 5.2 (method of continuity) of Gilbarg and Trudinger's "Elliptic partial differential equations of second order" states for B a Banach space and C a normed linear space, let L 0 and L 1 be bounded linear operators from B into C. For each t ∈ [ 0, 1], set L t = ( 1 − t) L 0 + t L 1, and suppose there is a constant C such that
[2006.09120v2] Continuity method with movable singularities for ...
WebMetric Geometry of Potentials with Prescribed Singularities on Compact Kähler Manifolds. A Trusiani. The Journal of Geometric Analysis 32, 1-37. , 2024. 14. 2024. The strong … WebThe continuity method The method of continuity is used in conjunction with a priori es-timates to prove the existence of suitably regular solutions to elliptic partial di erential … bar rusalka zakopane
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WebJun 16, 2024 · Continuity method with movable singularities for classical Monge-Ampère equations 16 Jun 2024 · Antonio Trusiani · Edit social preview On a compact K\"ahler manifold ( X, ω), we study the strong continuity of solutions with prescribed singularities of complex Monge-Amp\`ere equations with integrable Lebesgue densities. WebOct 19, 2024 · The Continuity Method on Fano Fibrations Yashan Zhang, Yashan Zhang Beijing International Center for Mathematical Research , Peking University, Beijing, China Correspondence to be sent to: e-mail: [email protected] Search for other works by this author on: Oxford Academic Google Scholar Zhenlei Zhang Zhenlei Zhang WebJun 16, 2024 · Antonio Trusiani Given a Fano manifold (X,\omega) we characterize analytically the existence of Kähler-Einstein metrics with prescribed singularities through a variational approach when the singularities can be approximated algebraically and are concentrated in a complete closed pluripolar set. barrus injury lawyers