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Asymptotic in Sobolev spaces for symmetric Paneitz-type equations on Riemannian manifolds
Authors:Nicolas Saintier
Affiliation:(1) Departamento de Matemática, FCEyN, Universidad de Buenos-Aires, Pabellón I, Ciudad Universitaria 1428, Buenos Aires, Argentina;(2) Universidad Nacional de General Sarmiento, J. M. Gutierrez 1150, C.P. 1613, Los Polvorines, Pcia de Buenos Aires, Argentina
Abstract:We describe the asymptotic behaviour in Sobolev spaces of sequences of solutions of Paneitz-type equations [Eq. (E α ) below] on a compact Riemannian manifold (M, g) which are invariant by a subgroup of the group of isometries of (M, g). We also prove pointwise estimates.
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000) 35B40  35J20  35B33
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