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Transactions of the American Mathematical Society· 2014Q1

The Brezis-Nirenberg result for the fractional Laplacian

Raffaella Servadei, Enrico Valdinoci

Short summary

This paper establishes the existence of non-trivial solutions for a fractional Laplacian equation with critical nonlinearities, analogous to the Brezis-Nirenberg result for the standard Laplacian.

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Field: Applied Mathematics

Applied MathematicsMathematics