Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity

Juncheng Wei; Shusen Yan

doi:10.1016/j.crma.2006.07.010

Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity

Juncheng Wei, Shusen Yan

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We study positive solutions of the equation... where n = 3, 4.5 and ∊ > 0 is small, with Neumann boundary condition in a unit ball B. We prove the existence of solutions with an interior bubble at the center and a boundary layer at the boundary ∂ B. To cite this article: J. Wei, S. Yan, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

Original language	English
Pages (from-to)	311-316
Journal	Comptes Rendus Mathematique
Volume	343
DOIs	https://doi.org/10.1016/j.crma.2006.07.010
Publication status	Published - 31 Dec 2006

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Mathematical Sciences

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10.1016/j.crma.2006.07.010

https://hdl.handle.net/1959.11/4419

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title = "Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity",

abstract = "We study positive solutions of the equation... where n = 3, 4.5 and ∊ > 0 is small, with Neumann boundary condition in a unit ball B. We prove the existence of solutions with an interior bubble at the center and a boundary layer at the boundary ∂ B. To cite this article: J. Wei, S. Yan, C. R. Acad. Sci. Paris, Ser. I 343 (2006).",

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T1 - Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity

AU - Wei, Juncheng

AU - Yan, Shusen

PY - 2006/12/31

Y1 - 2006/12/31

N2 - We study positive solutions of the equation... where n = 3, 4.5 and ∊ > 0 is small, with Neumann boundary condition in a unit ball B. We prove the existence of solutions with an interior bubble at the center and a boundary layer at the boundary ∂ B. To cite this article: J. Wei, S. Yan, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

AB - We study positive solutions of the equation... where n = 3, 4.5 and ∊ > 0 is small, with Neumann boundary condition in a unit ball B. We prove the existence of solutions with an interior bubble at the center and a boundary layer at the boundary ∂ B. To cite this article: J. Wei, S. Yan, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

KW - Mathematical Sciences

UR - https://www.scopus.com/pages/publications/33747371189

U2 - 10.1016/j.crma.2006.07.010

DO - 10.1016/j.crma.2006.07.010

M3 - Article

SN - 1631-073X

VL - 343

SP - 311

EP - 316

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

ER -

Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity

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