TY  - GEN
AB  - This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot-Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.
AU  - Baudoin, Fabrice,
AU  - Rigot, Séverine,
AU  - Savaré, Giuseppe,
AU  - Shanmugalingam, Nageswari,
AU  - Ambrosio, Luigi,
AU  - Franchi, Bruno
AU  - Markina, Irina
AU  - Serra Cassano, Francesco,
CN  - QA312
DO  - 10.1007/978-3-030-84141-6
DO  - doi
ID  - 1444308
KW  - Geometric measure theory.
KW  - Calculus of variations.
KW  - Differential equations, Partial.
KW  - Geometry, Differential.
KW  - Théorie de la mesure géométrique.
KW  - Calcul des variations.
KW  - Équations aux dérivées partielles.
KW  - Géométrie différentielle.
LK  - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-84141-6
N1  - Includes index.
N2  - This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot-Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.
SN  - 9783030841416
SN  - 3030841413
T1  - New trends on analysis and geometry in metric spaces :Levico Terme, Italy 2017 /
TI  - New trends on analysis and geometry in metric spaces :Levico Terme, Italy 2017 /
UR  - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-84141-6
VL  - volume 2296
ER  -