Geometric Analysis and PDEs - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007 (Paperback, 2009 ed.)

This volume contains the notes of the lectures delivered at the CIME course GeometricAnalysis andPDEsduringtheweekofJune11-162007inCetraro (Cosenza). The school consisted in six courses held by M. Gursky (PDEs in Conformal Geometry), E. Lanconelli (Heat kernels in sub-Riemannian s- tings), A. Malchiodi(Concentration of solutions for some singularly perturbed Neumann problems), G. Tarantello (On some elliptic problems in the study of selfdual Chern-Simons vortices), X. J. Wang (Thek-Hessian Equation)and P. Yang (Minimal Surfaces in CR Geometry). Geometric PDEs are a ?eld of research which is currently very active, as it makes it possible to treat classical problems in geometry and has had a dramatic impact on the comprehension of three- and four-dimensional ma- folds in the last several years. On one hand the geometric structure of these PDEs might cause general di?culties due to the presence of some invariance (translations, dilations, choice of gauge, etc. ), which results in a lack of c- pactness of the functional embeddings for the spaces of functions associated with the problems. On the other hand, a geometric intuition or result might contribute enormously to the search for natural quantities to keep track of, andtoproveregularityoraprioriestimatesonsolutions. Thistwo-foldaspect of the study makes it both challenging and complex, and requires the use of severalre?nedtechniquestoovercomethemajordi?cultiesencountered

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1977
Release date:	June 2009
First published:	2009
Editors:	Antonio Ambrosetti
Authors:	Matthew J. Gursky
Editors:	Sun-Yung Alice Chang
Authors:	Ermanno Lanconelli
Editors:	Andrea Malchiodi
Authors:	Andrea Malchiodi • Gabriella Tarantello • Xu-Jia Wang • Paul C. Yang
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Paperback
Pages:	256
Edition:	2009 ed.
ISBN-13:	978-3-642-01673-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-642-01673-1
Barcode:	9783642016738

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