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- W1997654295 abstract "Abstract We consider the following semilinear elliptic equation: { − e 2 Δ u + u − u p = 0 , u > 0 in Ω e , ∂ u ∂ ν = 0 on ∂ Ω e . Here, e > 0 and p > 1 . Ω e is a domain in R 2 with smooth boundary ∂ Ω e , and ν denotes the outer unit normal to ∂ Ω e . The domain Ω e depends on e, which shrinks to a straight line in the plane as e → 0 . In this case, a least-energy solution exists for each e sufficiently small, and it concentrates on a line. Moreover, the concentration line converges to the narrowest place of the domain as e → 0 ." @default.
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- W1997654295 date "2014-03-01" @default.
- W1997654295 modified "2023-09-27" @default.
- W1997654295 title "Concentration of least-energy solutions to a semilinear Neumann problem in thin domains" @default.
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- W1997654295 doi "https://doi.org/10.1016/j.jmaa.2013.09.036" @default.
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