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Quasiharmonic \(L^p\)-functions on Riemannian manifolds. (English) Zbl 0309.31016

MSC:
31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
53B99 Local differential geometry
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References:
[1] L. Chung - L. Sario , Harmonic Lp-functions and quasiharmonic degeneracy , J. Indian Math. Soc. (to appear). Zbl 0423.31006 · Zbl 0423.31006
[2] Y. K KwoN - L. Sario - B. Walsh , Behavior of biharmonic functions on Wiener’s and Royden’s compactifications , Ann. Inst. Fourier ( Grenoble ), 21 ( 1971 ), pp. 217 - 226 . Numdam | MR 340633 | Zbl 0208.13703 · Zbl 0208.13703
[3] M. Nakai - L. Sario , Quasiharmonic classification of Riemannian manifolds , Proc. Amer. Math. Soc. , 31 ( 1972 ), pp. 165 - 169 . MR 287488 | Zbl 0229.31006 · Zbl 0229.31006
[4] L. Sario , Biharmonic and quasiharmonic functions on Riemannian manifolds , Duplicated lecture notes 1968 - 70 , University of California , Los Angeles .
[5] L. Sario , Quasiharmonic degeneracy of Riemannian N-manifolds , Ködai Math. Sem. Rep. , 6 ( 1973 ), pp. 1 - 14 . Article | MR 404659 | Zbl 0296.31011 · Zbl 0296.31011
[6] L. Sar - C. Wang , Quasiharmonic functions on the Poincaré N-ball , Rend. Mat. , 6 ( 1973 ), pp. 1 - 14 . MR 402087
[7] L. Sario - C. Wang , Negative quasiharmonic functions , Tôhoku Math. J. , 26 ( 1974 ), pp. 85 - 93 . Article | MR 344500 | Zbl 0276.31005 · Zbl 0276.31005
[8] L. Sar - C. Wang , Radial quasiharmonic functions , Pacific J. Math. , 46 ( 1973 ), pp. 515 - 522 . Article | MR 322187 | Zbl 0256.31008 · Zbl 0256.31008
[9] L. Sario - C. Wang , Harmonic Lp-functions on Riemannian manifolds , Ködai Math. Sem. Rep. , 26 ( 1975 ), pp. 204 - 209 . Article | MR 412450 | Zbl 0302.31007 · Zbl 0302.31007
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