Local "superlinearity"and "sublinearity" for the p-Laplacian

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Existence of entire solutions for a class of quasilinear elliptic equations (2013, background): “to indefinite nonlinearities for the semilinear case in [10] and for the p-Laplacian operator in [11].”
Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space (2013, unknown): “Our results should be compared with similar ones obtained in [8] for a class of semilinear problems, in [9] and in [14] for a class of quasilinear problems driven by the p-Laplace operator and the mean curvature operator in Euclidean space, respectively.”
Elliptic problems involving the fractional Laplacian in RN (2013, background): “For previous related results in the local setting and in bounded domains we refer to [3,2,15,23] for the semilinear case and to [16] for the quasilinear case.”