Concentrating solutions for an exponential nonlinearity with Robin boundary condition

We study the following Robin boundary value problem (0.1){Δu+ϵ2up−1eup=0,u>0,inΩ;∂u∂n+λu=0on∂Ω, where Ω is a bounded domain in R2 with smooth boundary, as ϵ→0 and simultaneously λ→+∞, 0

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Bibliographic Details
Published in:Nonlinear analysis 2015-12, Vol.129, p.294-319
Main Authors: Chen, Wenjing, Deng, Shengbing, Figueroa, Pablo
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Bubbling
Bubbling solutions
Construction
Exponents
Lyapunov–Schmidt reduction procedure
Mathematical analysis
Nonlinearity
Robin boundary condition
Smooth boundaries
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Summary:We study the following Robin boundary value problem (0.1){Δu+ϵ2up−1eup=0,u>0,inΩ;∂u∂n+λu=0on∂Ω, where Ω is a bounded domain in R2 with smooth boundary, as ϵ→0 and simultaneously λ→+∞, 0
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2015.09.004