References
- Gidas B, Spruck J. Global and local behavior of positive solutions of nonlinear elliptic equations. Commun Pure Appl Math. 1981;34:525–598.
- Dancer EN. Superlinear problems on domains with holes of asymptotic shape and exterior problems. Math Z. 1998;229:475–491.
- Serrin J, Zou H. Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. Acta Math. 2002;189:79–142.
- Polacik P, Quittner P, Souplet Ph. Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part I: elliptic equations and systems. Duke Math J. 2007;139:555–579.
- Hu B. Remarks on the blow-up estimate for solutions of the heat equation with a nonlinear boundary condition. Differ Integral Equ. 1996;9:891–901.
- Mitidieri E. Nonexistence of positive solutions of semilinear elliptic systems in Rn. Differ Integral Equ. 1996;9:465–479.
- Serrin J, Zou H. Non-existence of positive solution of Lane-Emden systems. Differ Integral Equ. 1996;9:635–653.
- Souplet Ph. The proof of the Lane-Emden conjecture in 4 space dimensions. Adv Math. 2009;221:1409–1427.
- Huang Y, Xu L. Singularity and decay estimates for the conformal k-Hessian equation via Liouville-type theorems. Arch Math. 2009;93:175–179.
- Caffarelli L, Nirenberg L, Spruck J. The Dirichlet problem for nonlinear second elliptic equations, III. Functions of the eigenvalues of the Hessian. Acta Math. 1985;155:261–301.
- Wang X. A class of fully nonlinear elliptic equations and related functionals. Indiana Univ Math J. 1994;43:25–54.
- Tso K. Remarks on critical exponents for Hessian operators. Ann Inst H Poincare Anal Non Lineaire. 1990;7:113–122.
- Tian G, Wang X. Moser-Trudinger type inequalities for the Hessian equation. J Funct Anal. 2010;259:1974–2002.
- Wang X. The k-Hessian equation. In: Chang SY, Ambrosetti A, Malchiodi A, editors. Geometric analysis and PDEs. Berlin: Springer; 2009. p. 177–252. (Lecture Notes in Math.; 1977).
- Clement P, de Figueiredo D, Mitidieri E. Quasilinear elliptic equations with critical exponents. Topol Methods Nonlinear Anal. 1996;7:133–170.
- Miyamoto Y. Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations. Nonlinear Differ Equ Appl. 2016;23(2):1–24.
- Lei Y. Critical conditions and finite energy solutions of several nonlinear elliptic PDEs in Rn. J Differ Equ. 2015;258:4033–4061. Erratum, J Differ Equ. 2016;261:3772–3773.
- Phuc N, Verbitsky I. Quasilinear and Hessian equations of Lane-Emden type. Ann Math. 2008;168:859–914.
- Ou Q. Nonexistence results for Hessian inequality. Methods Appl Anal. 2010;17:213–224.
- Wang Y, Lei Y. On critical exponents of a k-Hessian equation in the whole space, accepted by Proc Roy Soc Edinburgh Sect A. arXiv.1602.06031.
- Chen W, Li C. Radial symmetry of solutions for some integral systems of Wolff type. Discrete Contin Dyn Syst. 2011;30:1083–1093.
- Lei Y. Qualitative properties of positive solutions of quasilinear equations with Hardy terms. Forum Math. 2017;29:1177–1198.
- Ma C, Chen W, Li C. Regularity of solutions for an integral system of Wolff type. Adv Math. 2011;226:2676–2699.
- Sun S, Lei Y. Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials. J Funct Anal. 2012;263:3857–3882.
- Chen W, Li C. An integral system and the Lane-Emden conjecture. Discrete Contin Dyn Syst. 2009;24:1167–1184.
- Labutin D. Potential estimates for a class of fully nonlinear elliptic equations. Duke Math J. 2002;111:1–49.
- Chen W, Li C, Ou B. Qualitative properties of solutions for an integral equations. Discrete Contin Dyn Syst. 2005;12:347–354.