Accession Number : AD0709650

Title :   QUASIBOUNDED P-HARMONIC FUNCTIONS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Wang,Cecilia Yuen-Chiann

Report Date : JUL 1970

Pagination or Media Count : 97

Abstract : Wiener's P-compactification R* of a Riemann surface, R, is introduced and a theory is developed of bounded and quasibounded solutions of the elliptic partial differential equation delta u = Pu, with P = or > O, P not identically equal to O, in terms of R*, the P-harmonic boundary delta of R, and the P-singular point s. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, POTENTIAL THEORY), CONDUCTION(HEAT TRANSFER), HYDRODYNAMICS, ELECTROSTATICS, COMPLEX VARIABLES, MEASURE THEORY, VECTOR SPACES, TOPOLOGY, THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE