Given a smooth bounded domain, we consider the delta-v equation. 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].
Asymptotic Morse Theory for the Delta-V Equation
Chanillo, Sagun;Malchiodi, Andrea
2005
Abstract
Given a smooth bounded domain, we consider the delta-v equation. 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].File in questo prodotto:
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CAG-2005-0013-0001-00024983.pdf
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