TY - GEN AB - This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school "Geometric Measure Theory and Applications From Geometric Analysis to Free Boundary Problems" which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing an up-to-date account of the Yau conjecture, a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves, it will be of interest to students and researchers in mathematical analysis and its applications AU - De Philippis, Guido, AU - Ros-Oton, Xavier, AU - Weiss, Georg S., AU - Focardi, Matteo, AU - Spadaro, Emanuele, CN - QA312 DO - 10.1007/978-3-030-65799-4 DO - doi ID - 1435189 KW - Geometric measure theory KW - Boundary value problems KW - Théorie de la mesure géométrique KW - Problèmes aux limites LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-65799-4 N2 - This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school "Geometric Measure Theory and Applications From Geometric Analysis to Free Boundary Problems" which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing an up-to-date account of the Yau conjecture, a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves, it will be of interest to students and researchers in mathematical analysis and its applications SN - 303065799X SN - 9783030657994 T1 - Geometric measure theory and free boundary problems :Cetraro, Italy 2019 / TI - Geometric measure theory and free boundary problems :Cetraro, Italy 2019 / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-65799-4 VL - volume 2284 ER -