Abstract

We study the following boundary value problem(0.1){Δu+λup−1eup=0,u>0inΩ;u=0on∂Ω, where Ω is a bounded domain in R2 with smooth boundary, λ>0 is a small parameter and 0<p<2. We construct bubbling solutions to problem (0.1) using a Lyapunov–Schmidt reduction procedure.

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