Asymptotic Morse Theory for the Equation ∆ v = 2 vx ∧
نویسنده
چکیده
Given a smooth bounded domain Ω ⊆ R, we consider the equation ∆v = 2vx ∧ vy in Ω, where v : Ω → R. We prescribe Dirichlet boundary datum, and consider the case in which this datum converges to zero. An asymptotic study of the corresponding Euler functional is performed, analyzing multiple-bubbling phenomena. This allows us to settle a particular case of a question raised by H. Brezis and J.M. Coron in [9].
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