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- W3197221014 abstract "We consider the following Liouville-type equation with exponential Neumann boundary condition:{−Δu˜=ε2K(x)e2u˜,x∈D,∂u˜∂n+1=εκ(x)eu˜,x∈∂D, where D⊂R2 is the unit disk, ε2K(x)>0 and εκ(x)>0 stand for the prescribed Gaussian curvature and geodesic curvature of the boundary, respectively. We prove the existence of concentration solutions if κ(x)+K(x)+κ(x)2 (x∈∂D) has a local extremum point, which is a new result for exponential Neumann boundary problems." @default.
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- W3197221014 date "2021-11-01" @default.
- W3197221014 modified "2023-10-14" @default.
- W3197221014 title "Concentration solutions to the singularly prescribed Gaussian and geodesic curvatures problem" @default.
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- W3197221014 doi "https://doi.org/10.1016/j.jde.2021.08.023" @default.
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