Mathematical Sciences: Sobolev Estimates for Weighted OrliczSpaces and their Applications to Linear and Nonlinear       Boundary Value Problems
{'Code': '03040102', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'John V. Ryff', 'PO_EMAI': None, 'PO_PHON': None}
This project will focus on the development of inequalities              which provide information on the embedding of Orlicz spaces of                  the weighted Sobolev type into other Orlicz spaces.  Included                   will be studies of embedding of weighted Sobolev spaces into                    weighted Lebesque spaces.                                                               Basic tools involved in this work are singular integral                 operators, capacity theory and maximal operators.  Applications                 will be made to nonlinear partial differential equations such as                semilinear elliptic boundary value problems.
{'FirstName': 'Martin', 'LastName': 'Schechter', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Martin Schechter', 'EmailAddress': 'mschecht@math.uci.edu', 'NSF_ID': '000151259', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Irvine', 'CityName': 'IRVINE', 'ZipCode': '926970001', 'PhoneNumber': '9498247295', 'StreetAddress': '160 ALDRICH HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '47', 'CONGRESS_DISTRICT_ORG': 'CA47', 'ORG_UEI_NUM': 'MJC5FCYQTPE6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA IRVINE', 'ORG_PRNT_UEI_NUM': 'MJC5FCYQTPE6'}
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{'Code': '126100', 'Text': 'CLASSICAL ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8701321.xml'}