Linking solutions for p-Laplace equations with nonlinearity at critical growth

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Nonlocal problems with critical Hardy nonlinearity (2017, unknown): “−∆pu = λ|u| u+ μ |u|q−2u |x|α in Ω, The Brezis-Nirenberg case r = p, α = 0, q = p∗ is well studied, see [8] and the references therein.”
Morse Theoretic Aspects of $p$-Laplacian Type Operators (2010, background): “Then (14) still holds if r is sufficiently small (see Degiovanni, Lancelotti, and Perera [42]), so Φ has a cohomological local splitting near zero in dimension k in the sense of the following definition given in Section 3.11.”
(N,q)‐Laplacian problems with critical Trudinger‐Moser nonlinearities (2014, background): “By Degiovanni and Lancelotti [12, Theorem 2.3], the sublevel set Ψλk(N) has a compact symmetric subset C of index k that is bounded in C1(Ω).”
Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth (2012, background): “The readers can refer to [10,11,13,14,16,23] for some recent results for quasilinear elliptic problems with critical nonlinearities.”
The Brezis–Nirenberg problem for the fractional p-Laplacian (2015, result): “This theorem extends to the fractional setting some well-known results of Garćıa Azorero and Peral Alonso [23], Egnell [19], Guedda and Véron [27], Arioli and Gazzola [3], and Degiovanni and Lancelotti [15] for critical p-Laplacian problems.”