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Multiplicity Results for Second Order Non-Autonomous Singular Dirichlet Systems

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Abstract

In this paper, we establish multiplicity results for second order non-autonomous singular Dirichlet systems. The proof is based on a well-known fixed point theorem in cones, and an existence principle proved in Agarwal and O’Regan (J. Differ. Equ. 175:393–414, 2001), which was established using a nonlinear alternative of Leray-Schauder type. Truncation techniques play an important role in the analysis. Some recent results in the literature are generalized and improved.

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Authors and Affiliations

  1. College of Science, Hohai University, Nanjing, 210098, People’s Republic of China

    Jifeng Chu

  2. Department of Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. Jifeng Chu
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  2. Donal O’Regan
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Correspondence to Jifeng Chu.

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Chu, J., O’Regan, D. Multiplicity Results for Second Order Non-Autonomous Singular Dirichlet Systems. Acta Appl Math 105, 323–338 (2009). https://doi.org/10.1007/s10440-008-9277-4

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