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Partial differential equations and geometric measure theory. Cetraro, Italy, June 2–7, 2014. Lecture notes. (English) Zbl 1403.35008

Lecture Notes in Mathematics 2211. CIME Foundation Subseries. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-74041-6/pbk; 978-3-319-74042-3/ebook). ix, 216 p. (2018).

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Publisher’s description: This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered. The lectures, given during the course “Partial differential equations and geometric measure theory” in Cetraro, June 2–7, 2014, should help to encourage further research in the area. The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.
The articles of this volume will be reviewed individually.
Indexed articles:
Figalli, Alessio, Global existence for the semigeostrophic equations via Sobolev estimates for Monge-Ampère, 1-42 [Zbl 1406.35273]
Peral, Ireneo, On some elliptic and parabolic equations related to growth models, 43-195 [Zbl 1411.35005]
Valdinoci, Enrico, All functions are (locally) \(s\)-harmonic (up to a small error) – and applications, 197-214 [Zbl 1405.35253]

MSC:

35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
92-06 Proceedings, conferences, collections, etc. pertaining to biology
00B25 Proceedings of conferences of miscellaneous specific interest
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