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Multiple Solutions of Quasilinear Elliptic Equations in â„ ð ‘

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  • Huei-li Lin

Abstract

Assume that ð ‘„ is a positive continuous function in â„ ð ‘ and satisfies some suitable conditions. We prove that the quasilinear elliptic equation − Δ ð ‘ ð ‘¢ + | ð ‘¢ | ð ‘ âˆ’ 2 ð ‘¢ = ð ‘„ ( 𠑧 ) | ð ‘¢ | ð ‘ž − 2 ð ‘¢ in â„ ð ‘ admits at least two solutions in â„ ð ‘ (one is a positive ground-state solution and the other is a sign-changing solution).

Suggested Citation

  • Huei-li Lin, 2010. "Multiple Solutions of Quasilinear Elliptic Equations in â„ ð ‘," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-12, March.
    • Handle: RePEc:hin:jnijde:673526
    DOI: 10.1155/2010/673526
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