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

Ruyun Ma and Lingfang Jiang

Journal of Applied Mathematics, 2014, vol. 2014, 1-9

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:810193

DOI: 10.1155/2014/810193

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