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- W3112971131 abstract "We consider the following Liouville-type equation with exponential Neumann boundary condition: $$ -Deltatilde u = varepsilon^2 K(x) e^{2tilde u}, quad xin D, qquad frac{partial tilde u}{partial n} + 1 = varepsilon kappa(x) e^{tilde u}, quad xinpartial D, $$ where $Dsubset mathbb R^2$ is the unit disc, $varepsilon^2 K(x)$ and $varepsilon kappa(x)$ stand for the prescribed Gaussian curvature and the prescribed geodesic curvature of the boundary, respectively. We prove the existence of concentration solutions if $kappa(x) + sqrt{K(x)+kappa(x)^2}$ ($xinpartial D$) has a strictly local extremum point, which is a total new result for exponential Neumann boundary problem." @default.
- W3112971131 created "2020-12-21" @default.
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- W3112971131 date "2020-12-09" @default.
- W3112971131 modified "2023-09-27" @default.
- W3112971131 title "Concentration solutions to singularly prescribed Gaussian and geodesic curvatures problem" @default.
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