A priori estimates and existence for quasi-linear elliptic equations

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A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities (2010, background): “See for instance [33, 2,61] for applications to existence problems and [12,1,39,49,22,42,40] for related implications to geometrical and reaction diffusion problems.”
Monotonicity and one-dimensional symmetry for solutions of −Δpu = f(u) in half-spaces (2011, methodology): “We refer the reader to [10,13,31] for others Liouville-type theorems in half-spaces and in the nonlinear degenerate setting.”
L∞-Estimates for nonlinear elliptic Neumann boundary value problems (2010, unknown): “A priori estimates for thep Laplacian equations with Dirichlet boundary values were also developed in [14], [26],[36],[ 39 ] and concerning the Laplace operator (p = 2) we refer to [5],[17],[19],[25].”
Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces (2012, methodology): “We refer the reader to [Zou] previous Liouville type results for p-Laplace equations.”
Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term (2014, background): “The existence of positive solutions for problems with the p-Laplacian (but not the (p, q)Laplacian) and a convection term, that is, the case where μ = 0 in (P), has been studied in [15,17].”