Abstract
In this paper we show existence of positive solution to the problem
In order to prove the main result, we study a limit problem of (P). More precisely, we study the case when \(a=0\). Moreover, we prove the version to \({\mathbb {R}}^{N}\) of Struwe’s Global compactness result [14] for fractional Laplace operator.
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Communicated by P. Rabinowitz.
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Correia, J.N., Figueiredo, G.M. Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\). Calc. Var. 58, 63 (2019). https://doi.org/10.1007/s00526-019-1502-7
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DOI: https://doi.org/10.1007/s00526-019-1502-7