Publication Cover
Applicable Analysis
An International Journal
Volume 65, 1997 - Issue 3-4
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Original Articles

Lp-theory of a boundary intelgral equation on a cuspidal contour

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Pages 289-305 | Received 01 Oct 1996, Published online: 02 May 2007

  • Maz'ya , V. and Soloviev , A. 1991 . SOn the integral equation of the Dirichlet problem in a plane domain with peaks at the boundary, Matem. Sbornik,180, n. 9, 1989, 1211-1233; English transl. in Math. USSR Sbornik, . Trudy Leningrad.Mat.Ob , 68 : 61 – 83 .
  • Maz'ya , v. and Soloviev , A. 1993 . On the boundary integral equation of the Neumann problem in a domain with a peak. . Trudy Leningrad.Mat.Ob , 155 : 101 – 127 . English transl. in Amer. Math. Soc. Transl
  • Maz'ya , V. and soloview , A. 1991 . Boundary Integral Equations . in Encyclopedia of Mathematical Sciences , 27 ( 9 )
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  • Maz'ya , V.G. and Plamenevskii , B.A. 1984 . “ Estimates in Lp and in Holder classes and the Miranda-Agmon maxmum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary ” . Vol. 123 , 1 – 56 . New York : Conraut Iustitnte New York Univ. .
  • Warschawaski , S.E . 1942 . On comformal mapping of infinite strips . Trans. Amer. Math. Soc. , 51 ( 2 ) : 280 – 335 .
  • Muckenhoupt , B. 1972 . Weighted norn inequalities for the Hardy maximal function . Trans. Amer. Math. Soc. , 165 ( 2 ) : 207 – 226 .
  • Kellogg , O.D. 1931 . On the derivatives of harmonic functions on the boundary . Trans. Amer. Math. Soc. , 33 ( 2 ) : 486 – 510 .

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