p-LAPLACIAN PROBLEMS WHERE THE NONLINEARITY CROSSES AN EIGENVALUE

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The Brezis–Nirenberg problem for the fractional p-Laplacian (2015, methodology): “We will use a more general construction based on sublevel sets as in Perera and Szulkin [39] (see also Perera et al. [37, Proposition 3.23]).”
Morse Theoretic Aspects of $p$-Laplacian Type Operators (2010, background): “In Perera and Szulkin [105] the following such construction based on the piercing property of the index (see Proposition 2.”
Linking solutions for p-Laplace equations with nonlinearity at critical growth (2009, result): “LINKING SOLUTIONS 5 In order to state our results in the line of (b), let us set, according to [6, 7, 17, 18],”
(N,q)‐Laplacian problems with critical Trudinger‐Moser nonlinearities (2014, methodology): “A similar construction was used in Perera and Szulkin [21].”