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- W2023509145 abstract "In this paper, a superlinear elliptic equation whose coefficient diverges on the boundary is studied in any bounded domain Ω under the zero Dirichlet boundary condition. Although the equation has a singularity on the boundary, a solution is smooth on the closure of the domain. Indeed, it is proved that the problem has a positive solution and infinitely many solutions without positivity, which belong to C1(Ω¯) or C2(Ω¯). Moreover, it is proved that a positive solution has a higher order regularity up to C∞(Ω¯)." @default.
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- W2023509145 date "2010-10-01" @default.
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- W2023509145 title "Superlinear elliptic equations with singular coefficients on the boundary" @default.
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- W2023509145 doi "https://doi.org/10.1016/j.na.2010.05.039" @default.
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