On a fractional nonlinear equation on a bounded domain of \(\mathbb R^n\) (Q776972)
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scientific article; zbMATH DE number 7219811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a fractional nonlinear equation on a bounded domain of \(\mathbb R^n\) |
scientific article; zbMATH DE number 7219811 |
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On a fractional nonlinear equation on a bounded domain of \(\mathbb R^n\) (English)
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13 July 2020
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Summary: We establish perturbation results for a Nirenberg type equation involving the fractional Laplacian on a bounded domain of \(\mathbb R^n, n \geq 2\). Our method is based on the critical points at infinity theory of [\textit{A. Bahri}, Critical points at infinity in some variational problems. Harlow: Longman Scientific and Technical; New York: John Wiley and Sons. (1989; Zbl 0676.58021)]
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fractional Laplacian
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variational method
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Palais-Smale condition
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critical points at infinity
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