MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT

By Gongbao Li, Zhang Guo. 2009

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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].”
Wang’s multiplicity result for superlinear (,)–equations without the Ambrosetti–Rabinowitz condition (2013, background): “Of the aforementioned works, only Li–Guo [13] have a (p−1)–superlinear reaction.”
(N,q)‐Laplacian problems with critical Trudinger‐Moser nonlinearities (2014, background): “u = 0 on ∂Ω, where Ω is a bounded domain in RN , N > p > q > 1, μ > 0, and p∗ = Np/(N − p) is the critical Sobolev exponent, has been studied by Li and Zhang [14] in the case 1 < r < q and by Yin and Yang [26] in the case p < r < p∗.”