A -theory for the blow-up of second order elliptic equations of critical Sobolev growth.
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Druet, Olivier, Hebey, Emmanuel, Robert, Frédéric (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Shenzhou Zheng (2016)
Czechoslovak Mathematical Journal
For , let be a bounded smooth domain and a compact smooth Riemannian manifold without boundary. Suppose that is a sequence of weak solutions in the critical dimension to the perturbed -polyharmonic maps with in and weakly in . Then is an -polyharmonic map. In particular, the space of -polyharmonic maps is sequentially compact for the weak- topology.
Rabier, Patrick J. (2009)
Boundary Value Problems [electronic only]
Svetlov, A.V. (2002)
Sibirskij Matematicheskij Zhurnal
Luís Almeida, Lucio Damascelli, Yuxin Ge (2002)
Annales de l'I.H.P. Analyse non linéaire
Rafael de la Llave, Enrico Valdinoci (2009)
Annales de l'I.H.P. Analyse non linéaire
Laurent Véron (1992)
Banach Center Publications
Affane, Atallah (1999)
The New York Journal of Mathematics [electronic only]
Milatovic, Ognjen (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Benalili, Mohamed, Maliki, Youssef (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Burton Randol (1990)
Commentarii mathematici Helvetici
Matthew J. Gursky, Andrea Malchiodi (2015)
Journal of the European Mathematical Society
In this paper we consider Riemannian manifolds of dimension , with semi-positive -curvature and non-negative scalar curvature. Under these assumptions we prove (i) the Paneitz operator satisfies a strong maximum principle; (ii) the Paneitz operator is a positive operator; and (iii) its Green’s function is strictly positive. We then introduce a non-local flow whose stationary points are metrics of constant positive -curvature. Modifying the test function construction of Esposito-Robert, we show...
Kushner, Alexei (2006)
Lobachevskii Journal of Mathematics
William Bordeaux Montrieux, Johannes Sjöstrand (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
In this paper, we consider elliptic differential operators on compact manifolds with a random perturbation in the 0th order term and show under fairly weak additional assumptions that the large eigenvalues almost surely distribute according to the Weyl law, well-known in the self-adjoint case.
Helga Baum (1991)
Mathematische Zeitschrift
Erwann Delay (1997)
Bulletin de la Société Mathématique de France
P. Maheux, L. Saloff-Coste (1995)
Mathematische Annalen
Boris Fedosov, Bert-Wolfgang Schulze, Nikolai Tarkhanov (2002)
Annales de l’institut Fourier
Spaces with corner singularities, locally modelled by cones with base spaces having conical singularities, belong to the hierarchy of (pseudo-) manifolds with piecewise smooth geometry. We consider a typical case of a manifold with corners, the so-called "edged spindle", and a natural algebra of pseudodifferential operators on it with special degeneracy in the symbols, the "corner algebra". There are three levels of principal symbols in the corner algebra, namely the interior,...
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