Existence and nonexistence results for critical growth biharmonic elliptic equations

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EXISTENCE OF NONTRIVIAL SOLUTIONS TO POLYHARMONIC EQUATIONS WITH SUBCRITICAL AND CRITICAL EXPONENTIAL GROWTH (2012, background): “See for example, in [14] [6] [18] [20] [21] [26] [39] [40], where the authors treated problem in the case 2m n and the nonlinearity has the subcritical and critical polynomial growth of power ≤ n+2m n−2m .”
A Global Compactness type result for Palais-Smale sequences in fractional Sobolev spaces (2014, methodology): “In our opinion, the contribution of this note is twofold: we extend Struwe’s Global Compactness result for Palais-Smale sequences to any fractional Sobolev spaces Ḣs, hence establishing a tool which could be useful for further investigations in this nonlocal framework; moreover, since we derive it f”