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- W4200522224 abstract "Abstract The aim of this article is to examine the solutions of the boundary value problem of the nonlinear elliptic equation ε 2 △ u = f ( u ). We describe the asymptotic behavior as ε tends to zero of the solutions on a spherical crown C of R N , ( N ≥ 2) in a direct non-classical formulation which suggests easy proofs. We propose to look for interesting solutions in the case where the condition at the edge of the crown is a constant function. Our results are formulated in classical mathematics.Their proofs use the stroboscopic method which is a tool of the nonstandard asymptotic theory of differential equations." @default.
- W4200522224 created "2021-12-31" @default.
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- W4200522224 date "2021-12-01" @default.
- W4200522224 modified "2023-09-24" @default.
- W4200522224 title "On rapidly oscillating solutions of a nonlinear elliptic equation" @default.
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- W4200522224 doi "https://doi.org/10.1515/ms-2021-0062" @default.
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