Mathematical Sciences: Global Differential Geometry and     Nonlinear Partial Differential Equations
{'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}
Vladimir Oliker will continue his research in the area of                  global differential geometry and related problems in nonlinear                  partial differential equations. He will study existence,                        uniqueness and regularity problems for compact and noncompact                   complete hypersurfaces with prescribed curvature functions. The                 emphasis is placed on the analytic approach based on a study of                 corresponding questions for Monge-Ampere equations. As a part of                this research variational problems for nonlinear elliptic                       equations will also be investigated.                                                 Earlier results on the realization of a given function as a                curvature function have been based on pointwise growth                          conditions. Oliker will attempt to replace these with integral                  estimates. He will also look for corresponding results in Lorenz                space. These investigations will encounter the added difficulty                 that the unit sphere is not compact.
{'FirstName': 'Vladimir', 'LastName': 'Oliker', 'PI_MID_INIT': 'I', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Vladimir I Oliker', 'EmailAddress': 'oliker@mathcs.emory.edu', 'NSF_ID': '000171519', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Emory University', 'CityName': 'ATLANTA', 'ZipCode': '303221061', 'PhoneNumber': '4047272503', 'StreetAddress': '201 DOWMAN DR NE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Georgia', 'StateCode': 'GA', 'CONGRESSDISTRICT': '05', 'CONGRESS_DISTRICT_ORG': 'GA05', 'ORG_UEI_NUM': 'S352L5PJLMP8', 'ORG_LGL_BUS_NAME': 'EMORY UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8702742.xml'}