For m >= 1 we prove an existence result for the equation (- Delta g)(m) u + lambda = lambda e(2mu)/integral M e(2mu) d mu g on a closed Riemannian manifold (M, g) of dimension 2m for certain values of lambda.
Existence of solutions to a higher dimensional mean-field equation on manifolds / Martinazzi, Luca; Petrache, Mircea. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 133:1(2010), pp. 115-130. [10.1007/s00229-010-0365-1]
Existence of solutions to a higher dimensional mean-field equation on manifolds
Martinazzi, Luca;
2010
Abstract
For m >= 1 we prove an existence result for the equation (- Delta g)(m) u + lambda = lambda e(2mu)/integral M e(2mu) d mu g on a closed Riemannian manifold (M, g) of dimension 2m for certain values of lambda.File allegati a questo prodotto
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