Multiplicity and Concentration of Positive Solutions for a Class of Quasilinear Problems

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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): “The general case was studied in [2], [10], [11] and [12].”
Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb{R}^N$ via penalization method (2015, unknown): “Now, standard arguments as those used in [2], it is possible to prove that lim ǫ→0 tǫ = 1 and lim ǫ→0 Eǫ(tǫw) = J0(w).”