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Weakly sequentially continuous maps and existence principles for elliptic equations

Volume 30 / 2003

R. P. Agarwal, Donal O'Regan Applicationes Mathematicae 30 (2003), 451-460 MSC: 47A10, 35J65. DOI: 10.4064/am30-4-7

Abstract

We present a Furi–Pera type theorem for weakly sequentially continuous maps. As an application we establish new existence principles for elliptic Dirichlet problems.

Authors

  • R. P. AgarwalDepartment of Mathematical Science
    Florida Institute of Technology
    Melbourne, FL 32901, U.S.A.
    e-mail
  • Donal O'ReganDepartment of Mathematics
    National University of Ireland
    Galway, Ireland
    e-mail

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