A Global Compactness Result for the P-laplacian Involving Critical Nonlinearities

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A priori estimates and application to the symmetry of solutions for critical $p$-Laplace equations (2014, background): “…compactness results in energy spaces in the spirit of Struwe [26] have been established in diﬀerent contexts by Alves [1] for equations posed in the whole R n , Saintier [23] in the case of a smooth, compact manifold, and Mercuri–Willem [20] and Yan [32] in the case of a smooth, bounded domain.”