TY  - BOOK
AU  - Carrillo,Jose Antonio
AU  - Pino,Manuel del
AU  - Figalli,Alessio
AU  - Mingione,Giuseppe
AU  - Vazquez,Juan Luis
ED  - CIME Course on Nonlocal and Nonlinear Diffusions and Interactions. New Methods and Directions
TI  - Nonlocal and nonlinear diffusions and interactions: new methods and directions:  
T2  - Lecture notes in mathematics
SN  - 9783319614939 (alk. paper)
U1  - 515.353 23
PY  - 2017///
CY  - Cham
PB  - Springer
KW  - Partial differential equations
KW  - Congresses
N1  - Include bibliographical references; 1. The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime --
2. Bubbling blow-up in critical parabolic problems --
3. Regularity theory for local and nonlocal minimal surfaces: an overview --
4. Short tales from nonlinear Calderon-Zygmund theory --
5. The mathematical theories of diffusion: nonlinear and fractional diffusion
N2  - This book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field
ER  -