Infinitely many sign-changing solutions for a quasilinear elliptic equation in \(\mathbb{R}^N\) (Q2343212)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely many sign-changing solutions for a quasilinear elliptic equation in \(\mathbb{R}^N\) |
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Infinitely many sign-changing solutions for a quasilinear elliptic equation in \(\mathbb{R}^N\) (English)
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4 May 2015
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By using the methods of perturbation and invariant sets of descending flow, the authors obtain the existence of infinitely many sign-changing solutions of the equation \[ -\Delta u +u-u\Delta u^2=a(x)|u|^{r-2}u, \;x\in {\mathbb R}^N\,. \]
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sign-changing solutions
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quasilinear elliptic equation
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the method of perturbation
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