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Volumn 276, Issue 1, 1983, Pages 267-297

Applications of variational inequalities to the existence theorem on quadrature domains

Author keywords

Potentials; Quadrature domains; Subharmonic functions; Variational inequalities

Indexed keywords


EID: 84967713018     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1983-0684507-2     Document Type: Article
Times cited : (42)

References (8)
  • 1
    • 51249167048 scopus 로고
    • An approximation theorem
    • L. Bers, An approximation theorem, J. Analyse Math. 14 (1965), 1-4.
    • (1965) J. Analyse Math , vol.14 , pp. 1-4
    • Bers, L.1
  • 2
    • 84971155357 scopus 로고
    • A variational inequality approach to Hele-Shaw flow with a moving boundary
    • C. M. Elliott and V. Janovsky, A variational inequality approach to Hele-Shaw flow with a moving boundary, Proc. Roy. Soc. Edinburgh Sect. A 88 (1981), 93-107.
    • (1981) Proc. Roy. Soc. Edinburgh Sect. A , vol.88 , pp. 93-107
    • Elliott, C.M.1    Janovsky, V.2
  • 3
    • 84967770172 scopus 로고    scopus 로고
    • Applications of variational inequalities to a moving boundary problem for Hele Shaw flows, TRITA-MAT-1981-9
    • B. Gustafsson, Applications of variational inequalities to a moving boundary problem for Hele Shaw flows, TRITA-MAT-1981-9, Mathematics, Roy. Inst. Tech., Stockholm, p. 84.
    • Mathematics, Roy. Inst. Tech
    • Gustafsson, B.1
  • 4
    • 84972582378 scopus 로고
    • Approximation in the mean by solutions of elliptic equations, Duke
    • L. I. Hedberg, Approximation in the mean by solutions of elliptic equations, Duke Math. J. 40 (1973), 9-16.
    • (1973) Math. J , vol.40 , pp. 9-16
    • Hedberg, L.I.1
  • 6
    • 0015491441 scopus 로고
    • Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
    • S. Richardson, Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel, J. Fluid Mech. 56 (1972), 609-618.
    • (1972) J. Fluid Mech , vol.56 , pp. 609-618
    • Richardson, S.1
  • 7
    • 0003361311 scopus 로고
    • Quadrature domains
    • Springer-Verlag, Berlin
    • M. Sakai, Quadrature domains, Lecture Notes in Math., vol. 934, Springer-Verlag, Berlin, 1982.
    • (1982) Lecture Notes in Math. , vol.934
    • Sakai, M.1
  • 8
    • 51249185501 scopus 로고
    • Null quadrature domains
    • M. Sakai, Null quadrature domains, J. Analyse Math. 40 (1981), 144-154.
    • (1981) J. Analyse Math , vol.40 , pp. 144-154
    • Sakai, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.