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Multiplicity of Solutions for Neumann Problems for Semilinear Elliptic Equations

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  • Yu-Cheng An
  • Hong-Min Suo

Abstract

Using the minimax methods in critical point theory, we study the multiplicity of solutions for a class of Neumann problems in the case near resonance. The results improve and generalize some of the corresponding existing results.

Suggested Citation

  • Yu-Cheng An & Hong-Min Suo, 2014. "Multiplicity of Solutions for Neumann Problems for Semilinear Elliptic Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:360581
    DOI: 10.1155/2014/360581
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    References listed on IDEAS

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    1. Dumitru Motreanu & Viorica Venera Motreanu & Nikolaos Papageorgiou, 2014. "Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems," Springer Books, Springer, edition 127, number 978-1-4614-9323-5, March.
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    Cited by:

    1. Yu-Cheng An & Hong-Min Suo, 2017. "The Neumann Problem for a Degenerate Elliptic System Near Resonance," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).

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    1. Yu-Cheng An & Hong-Min Suo, 2017. "The Neumann Problem for a Degenerate Elliptic System Near Resonance," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).

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