Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms

Berestycki, 1994, Superlinear indefinite elliptic problems and nonlinear Liouville theorems, Topol. Methods Nonlinear Anal., 4, 59, 10.12775/TMNA.1994.023 Bidaut-Véron, 2001, Nonexistence results and estimates for some nonlinear elliptic problems, J. Anal. Math., 84, 1, 10.1007/BF02788105 Birindelli, 1998, Liouville theorems for elliptic inequalities and applications, Proc. R. Soc. Edinb., Sect. A, 128, 1217, 10.1017/S0308210500027293 Bordoni, 2015, Nonlinear elliptic inequalities with gradient terms on the Heisenberg group, Nonlinear Anal., 121, 262, 10.1016/j.na.2015.02.012 Caristi, 2008, Liouville theorems for some nonlinear inequalities, Proc. Steklov Inst. Math., 260, 90, 10.1134/S0081543808010070 Caristi, 2008, Local estimates and Liouville theorems for a class of quasilinear inequalities, Dokl. Akad. Nauk, 418, 453 Chen, 2016, Classification of isolated singularities of positive solutions for Choquard equations, J. Differ. Equ., 261, 6668, 10.1016/j.jde.2016.08.047 Chen, 2018, Isolated singularities of positive solutions for Choquard equations in sublinear case, Commun. Contemp. Math., 20, 10.1142/S0219199717500407 Emden, 1907 D'Ambrosio, 2010, A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities, Adv. Math., 224, 967, 10.1016/j.aim.2009.12.017 Filippucci, 2011, Nonexistence of nonnegative solutions of elliptic systems of divergence type, J. Differ. Equ., 250, 572, 10.1016/j.jde.2010.09.028 Filippucci, 2013, Quasilinear elliptic systems in RN with multipower forcing terms depending on the gradient, J. Differ. Equ., 255, 1839, 10.1016/j.jde.2013.05.026 Filippucci, 2010, Nonlinear weighted p-Laplacian elliptic inequalities with gradient terms, Commun. Contemp. Math., 12, 501, 10.1142/S0219199710003841 Fowler, 1914, The form near infinity of real continuous solutions of a certain differential equation of second order, Q. J. Math., 45, 289 Fowler, 1920, The solutions of Emden's and similar differential equations, Mon. Not. R. Astron. Soc., 91, 63, 10.1093/mnras/91.1.63 M. Ghergu, P. Karageorgis, G. Singh, Positive solutions for quasilinear elliptic inequalities with singular potentials and nonlocal terms, in preparation. Ghergu, 2016, Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity, J. Differ. Equ., 261, 189, 10.1016/j.jde.2016.03.004 Gidas, 1981, Global and local behavior of positive solutions of nonlinear elliptic equations, Commun. Pure Appl. Math., 34, 525, 10.1002/cpa.3160340406 Kondratiev, 2005, Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains, Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 22, 25, 10.1016/j.anihpc.2004.03.003 Kondratiev, 2003, Second-order semilinear elliptic inequalities in exterior domains, J. Differ. Equ., 187, 429, 10.1016/S0022-0396(02)00036-0 Liskevich, 2007, Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains, J. Differ. Equ., 232, 212, 10.1016/j.jde.2006.09.001 Mitidieri, 2001, A priori estimates and blow up of solutions to nonlinear partial differential equations, Proc. Steklov Inst. Math., 234, 1 Moroz, 2013, Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains, J. Differ. Equ., 254, 3089, 10.1016/j.jde.2012.12.019 Moroz, 2017, A guide to the Choquard equation, J. Fixed Point Theory Appl., 19, 773, 10.1007/s11784-016-0373-1 Pucci, 2007, Qualitative properties for solutions of singular elliptic inequalities on complete manifolds, J. Differ. Equ., 234, 507, 10.1016/j.jde.2006.11.013 Pucci, 1999, A strong maximum principle and a compact support principle for singular elliptic inequalities, J. Math. Pures Appl., 78, 769, 10.1016/S0021-7824(99)00030-6 Trudinger, 1967, On Harnack type inequalities and their application to quasilinear equations, Commun. Pure Appl. Math., 20, 721, 10.1002/cpa.3160200406