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Existence of Sign-Changing Solutions to Equations Involving the One-Dimensional -Laplacian

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  • Ruyun Ma
  • Lingfang Jiang

Abstract

We consider the equations involving the one-dimensional -Laplacian    , and where and . We show the existence of sign-changing solutions under the assumptions and . We also show that has exactly one solution having specified nodal properties for for some . Our main results are based on quadrature method.

Suggested Citation

  • Ruyun Ma & Lingfang Jiang, 2014. "Existence of Sign-Changing Solutions to Equations Involving the One-Dimensional -Laplacian," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnljam:810193
    DOI: 10.1155/2014/810193
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