The existence of a nontrivial solution to the p&q-Laplacian problem with nonlinearity asymptotic to up-1 at infinity in RN

By Chengjun He, Gongbao Li. 2008

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Existence and multiplicity of solutions for a class of p & q elliptic problems with critical exponent (2013, background): “2) was studied in [8], [13], [14], [16], [17], [19] and [20].”
Qualitative Phenomena for Some Classes of Quasilinear Elliptic Equations with Multiple Resonance (2014, methodology): “The nonlinear regularity theory implies that if u0 ∈ Kφ , then u0 ∈ C1 0(Ω) (see [26, 27]).”