Multiple Solutions of Quasilinear Elliptic Equations in â„ ð ‘

Huei-li Lin

International Journal of Differential Equations, 2010, vol. 2010, 1-12

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).

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:673526

DOI: 10.1155/2010/673526

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