Elliptic Variational Problems in RN with Critical Growth

By A. Ambrosetti, J. G. Azorero, I. Peral. 2000

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Fractional elliptic problems with critical growth in the whole of $\R^n$ (2015, background): “The perturbative term uq is somehow more “arbitrary” and it could be generalized: we stick to this choice both to compare with the classical cases in [3] and references therein and in order to emphasize the role of such perturbation, which is to produce a small, but not negligible, subcritical growt”
Bifurcation results for a fractional elliptic equation with critical exponent in R^n (2014, background): “a huge literature concerning the search of solutions for this kind of perturbative problems in the classical case, i.e. when s= 1 and the fractional Laplacianboils down to the classicalLaplacian, see [1, 2, 3, 4, 5, 8, 10, 14, 15, 29, 30]. In particular, Theorem 1.1 here can be seen as the nonlocal ”