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• W2565109430 abstract "We study the existence of at least one conformal metric of prescribed Gaussian curvature on a closed surface $Sigma$ admitting conical singularities of orders $alpha_i$'s at points $p_i$'s. In particular, we are concerned with the case where the prescribed Gaussian curvature is sign-changing. Such a geometrical problem reduces to solving a singular Liouville equation. By employing a min-max scheme jointly with a finite dimensional reduction method, we deduce new perturbative results providing existence when the quantity $chi(Sigma)+sum_i alpha_i$ approaches a positive even integer, where $chi(Sigma)$ is the Euler characteristic of the surface $Sigma$." @default.
• W2565109430 created "2017-01-06" @default.
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• W2565109430 date "2016-12-12" @default.
• W2565109430 modified "2023-10-18" @default.
• W2565109430 title "Prescribed Gauss curvature problem on singular surfaces" @default.
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• W2565109430 hasPublicationYear "2016" @default.
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