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W2014135608 abstract "We consider the following -Neumann problem for functions: given a function on the boundary of a domain with boundary of class , find a harmonic function in such that on (where is the normal part of the differential form ). It is shown that with the homogeneous boundary condition , the only solutions of this problem are holomorphic functions. Solvability of this problem is proved in strictly pseudoconvex domains if the function (or distribution) is orthogonal to holomorphic functions for integration over . An integral formula for the solution of the -Neumann problem in the ball is given. The proof uses known results on solvability of the -Neumann problem for forms of type for 0$ SRC=http://ej.iop.org/images/0025-5734/70/1/A06/tex_sm_2119_img14.gif/>." @default.
W2014135608 created "2016-06-24" @default.
W2014135608 creator A5056016913 @default.
W2014135608 date "1991-02-28" @default.
W2014135608 modified "2023-09-25" @default.
W2014135608 title "ON THE $ overline{partial}$-NEUMANN PROBLEM FOR SMOOTH FUNCTIONS AND DISTRIBUTIONS" @default.
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W2014135608 doi "https://doi.org/10.1070/sm1991v070n01abeh002119" @default.
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