Mathematical Sciences: Liouville Theorems and Regularity of Mappings Minimizing the Lp Norm of the Gradient
{'Code': '03040108', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
This project will yield basic knowledge of Liouville                       theorems and regularity of p-minimizing maps into                               p-superstrongly unstable manifolds.  Much of the proposed work                  is ongoing research that continues or extends previous                          individual work (e.g. regularity of minimizing harmonic maps in                 to super-strongly unstable manifolds) and joint work of the                     investigators.  It draws on techniques from several areas,                      including differential geometry, partial differential                           equations, geometric measure theory, topology and calculus of                   variations.  Dr. S. Walter Wei will work on geometric aspects                   of nonlinear elliptic systems and the regularity of minimizers;                 Dr. Chi-Ming Yau will work on Function theoretic properties of                  Riemannian manifolds.  In joint projects, Wei and Yau will                      continue to study the average variational method from an                        extrinsic view point as an approach to confront and resolve                     problems in global nonlinear analysis and geometry.
[{'FirstName': 'Chi-Ming', 'LastName': 'Yau', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Chi-Ming Yau', 'EmailAddress': None, 'NSF_ID': '000459829', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Shihshu Walter', 'LastName': 'Wei', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Shihshu Walter Wei', 'EmailAddress': 'wwei@ou.edu', 'NSF_ID': '000399249', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'University of Oklahoma Norman Campus', 'CityName': 'NORMAN', 'ZipCode': '730193003', 'PhoneNumber': '4053254757', 'StreetAddress': '660 PARRINGTON OVAL RM 301', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Oklahoma', 'StateCode': 'OK', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'OK04', 'ORG_UEI_NUM': 'EVTSTTLCEWS5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF OKLAHOMA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802745.xml'}