Given a regular bounded domain < subset of>2m, we describe the limiting behavior of sequences of solutions to the mean field equation of order 2m, m epsilon 1, [image omitted] under the Dirichlet boundary condition and the bound 0C. We emphasize the connection with the problem of prescribing the Q-curvature.
Asymptotics and quantization for a mean-field equation of higher order / Martinazzi, Luca; Petrache, Mircea. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 35:3(2010), pp. 443-464. [10.1080/03605300903296330]
Asymptotics and quantization for a mean-field equation of higher order
Martinazzi, Luca;
2010
Abstract
Given a regular bounded domain < subset of>2m, we describe the limiting behavior of sequences of solutions to the mean field equation of order 2m, m epsilon 1, [image omitted] under the Dirichlet boundary condition and the bound 0C. We emphasize the connection with the problem of prescribing the Q-curvature.File allegati a questo prodotto
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