Alberto Ferrero



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Curriculum vitae

List of publications

Research interests
Elliptic problems with singular potentials
Second order quasilinear elliptic equations
Higher order equations
Elliptic problems with measures
Mathematical models for suspension bridges
Elliptic problems on Riemannian manifolds


Talks


Elliptic problems on Riemannian manifolds

  This research topic deals with the study of elliptic problems with the Laplace-Beltrami operator on Riemannian models with a pole. We are essentially interested in Riemannian manifolds with negative scalar curvature at infinity. We studied many aspects of solutions of such a class of equations, like existence, asymptotic behavior, symmetry and stability. All these results are contained in the two papers listed below.



[1] E. Berchio, A. Ferrero, G. Grillo, Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models, Journal de Mathématiques Pures et Appliquées 102, 2014, 1-35
http://www.sciencedirect.com/science/article/pii/S0021782413001360

[2] E. Berchio, A. Ferrero, M. Vallarino, Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models, accepted for publication in Nonlinear Differential Equations and Applications
http://link.springer.com/article/10.1007/s00030-015-0318-1?sa_campaign=email/event/articleAuthor/onlineFirst