The regularity of weak solutions to nonlinear scalar field elliptic equations containing p&q-laplacians

By Chengjun He, Gongbao Li. 2008

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Fractional double-phase patterns: concentration and multiplicity of solutions (2020, background): “Moreover, in order to show that the solutions of the modified problem are also solutions to (3), we can not adapt in our setting the arguments in [2,5,46], due to the nonlocal character of fractional p&q-Laplacian operators, and also fails the strategy used in [6] to study (4) based on some useful e”
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): “Typically, in such applications, h(z, u) is a polynomial of u with variable coefficients; see Cherfils–Il’yasov [4] and He– Li [10].”