Multiple solutions of quasilinear elliptic equations in \(\mathbb R^N\) (Q606251)
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scientific article; zbMATH DE number 5816468
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions of quasilinear elliptic equations in \(\mathbb R^N\) |
scientific article; zbMATH DE number 5816468 |
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Multiple solutions of quasilinear elliptic equations in \(\mathbb R^N\) (English)
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16 November 2010
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Summary: Assume that \(Q\) is a positive continuous function in \(\mathbb R^N\) and satisfies some suitable conditions. We prove that the quasilinear elliptic equation \(-\Delta_pu+|u|^{p-2}u=Q(z)|u|^{q-2}u\) in \(\mathbb R^N\) admits at least two solutions in \(\mathbb R^N\) (one is a positive ground-state solution and the other is a sign-changing solution).
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quasilinear elliptic equations
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positive solutions
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sign-changing solutions
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ground-state solution
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nodal solution
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