A fractional elliptic problem in \(\mathbb {R}^n\) with critical growth and convex nonlinearities (Q1728390)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fractional elliptic problem in \(\mathbb {R}^n\) with critical growth and convex nonlinearities |
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A fractional elliptic problem in \(\mathbb {R}^n\) with critical growth and convex nonlinearities (English)
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22 February 2019
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Concisely, the authors show the existence of a positive solution of a suitable nonlinear elliptic equation. The proof is essentially based on using the concentration-compactness principle for a fractional Laplacian operator.
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concentration-compactness
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mountain pass theorem
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