Teoriya V-Garmonicheskikh Funktsiy

V monografii sozdana teoriya V-potentsiala - potentsiala, porozhdennogo operatorom obobshchennogo sdviga, kommutiruemym s operatorom Besselya. Na osnove etoy teorii issleduetsya korrektnost' postanovki osnovnykh kraevykh zadach v regulyarnoy oblasti i obobshchennoy zadachi Dirikhle v neregulyarnoy oblasti teorii V-garmonicheskikh funktsiy. Daetsya predstavlenie V-supergarmonicheskikh funktsiy V-potentsialami, dokazyvaetsya teorema ob obobshchennom printsipe maksimuma dlya V-garmonicheskikh funktsiy, razbirayutsya voprosy ob odnoznachnoy razreshimosti obobshchennoy zadachi Dirikhle i o kriteriyakh regulyarnosti tochek nekharakteristicheskoy chasti granitsy oblasti.