Existence and nonexistence results for anisotropic quasilinear elliptic equations

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Existence of solution for a anisotropic equation with critical exponent (2008, methodology): “Indeed, In [4], the authors have considered the same anisotropic differential operator as in (Pλ) and established existence and regularity results in the subcritical case.”
A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “[88, 96, 97, 145, 182, 193], for other estimates on solutions to [15, 11, 13], while for nonexistence to [71, 96].”
Symmetrization in Anisotropic Elliptic Problems (2007, background): “…as witnessed by a number of papers, including Acerbi and Fusco (1994), Belloni et al. (2003), Boccardo et al. (1990), Esposito et al. (2004), Fragalà et al. (2004), Fusco and Sbordone (1993), Hong (1992), Giaquinta (1987), Leonetti (1992), Lieberman (2005), Marcellini (1989), Stroffolini…”
Existence and Regularity Results for Anisotropic Elliptic Problems (2009, background): “As a matter of fact in this case the embedding exponent is the maximum of the pi’s, pN , not p∗ = pN N−p , see [13].”