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Boundary Value Problems
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Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains

Boundary Value Problems volume 2010, Article number: 524862 (2010) Cite this article

Abstract

Assume that is a positive continuous function in and satisfies the suitable conditions. We prove that the Dirichlet problem admits at least three positive solutions in an exterior domain.

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Authors and Affiliations

  1. Department of Natural Sciences, Center for General Education, Chang Gung University, Tao-Yuan, 333, Taiwan

    Tsing-San Hsu & Huei-Li Lin

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  1. Tsing-San Hsu
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  2. Huei-Li Lin
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Correspondence to Huei-Li Lin.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Hsu, TS., Lin, HL. Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains. Bound Value Probl 2010, 524862 (2010). https://doi.org/10.1155/2010/524862

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  • DOI: https://doi.org/10.1155/2010/524862

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Elliptic Problem