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A+ CATEGORY SCIENTIFIC UNIT

A nonlocal elliptic equation in a bounded domain

Volume 66 / 2004

Piotr Fijałkowski, Bogdan Przeradzki, Robert Stańczy Banach Center Publications 66 (2004), 127-133 MSC: Primary 35J65. DOI: 10.4064/bc66-0-8

Abstract

The existence of a positive solution to the Dirichlet boundary value problem for the second order elliptic equation in divergence form in a bounded domain \Omega in {\mathbb R}^n with some growth assumptions on the nonlinear terms f and g is proved. The method based on the Krasnosel'ski\uı Fixed Point Theorem enables us to find many solutions as well.

Authors

  • Piotr FijałkowskiFaculty of Mathematics, University of Łódź
    Banacha 22, 90-238 Łódź, Poland
    e-mail
  • Bogdan PrzeradzkiFaculty of Mathematics, University of Łódź

    Banacha 22, 90-238 Łódź, Poland
    e-mail
  • Robert StańczyWydział Matematyki, Uniwersytet Łódzki, ul. Banacha 22, 90-238
    Łódź, Poland;
    and
    Instytut Matematyczny, Uniwersytet Wrocławski,
    Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
    e-mail

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