1 |
Wei W . Existence and multiplicity for negative solutions of k-Hessian equations. J Differential Equations, 2017, 263: 615- 640
doi: 10.1016/j.jde.2017.02.049
|
2 |
Ambrosetti A , Garcia J , Peral I . Multiplicity of solutions for semilinear and quasilinear elliptic problems. J Funct Anal, 1996, 137: 219- 242
doi: 10.1006/jfan.1996.0045
|
3 |
Atkinson F V , Peletier L A . Emden-Fowler equations involving critical exponents. Nonlinear Anal, 1986, 10: 755- 776
doi: 10.1016/0362-546X(86)90036-2
|
4 |
Wei W . Uniqueness theorems for negative radial solutions of k-Hessian equations in a ball. J Differential Equations, 2016, 261: 3756- 3771
doi: 10.1016/j.jde.2016.06.004
|
5 |
Covei D P . A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equation and systems with weights. Acta Math Sci, 2017, 37: 47- 57
doi: 10.1016/S0252-9602(16)30114-X
|
6 |
de Oliveira J F , doÓ J M , Ubilla P . Existence for a k-Hessian equation involving supercritical growth. J Differential Equations, 2019, 267: 1001- 1024
|
7 |
Dieu N Q , Dung N T . Radial symmetric solution of complex Hessian equation in the unit ball. Complex Var Elliptic Equa, 2013, 58: 1261- 1272
doi: 10.1080/17476933.2012.662223
|
8 |
Escudero C , Torres P J . Existence of radial solutions to biharmonic k-Hessian equations. J Differential Equations, 2015, 259: 2732- 2761
doi: 10.1016/j.jde.2015.04.001
|
9 |
Feng M . New results of coupled system of k-Hessian equations. Appl Math Lett, 2019, 94: 196- 203
doi: 10.1016/j.aml.2019.03.008
|
10 |
He J , Zhang X , Liu L , Wu Y . Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations. Nonlinear Anal:Model Control, 2018, 23: 475- 492
doi: 10.15388/NA.2018.4.2
|
11 |
Sánchez J , Vergara V . Bounded solutions of a k-Hessian equation in a ball. J Differential Equations, 2016, 261: 797- 820
doi: 10.1016/j.jde.2016.03.021
|
12 |
Sánchez J , Vergara V . Bounded solutions of a k-Hessian equation involving a weighted nonlinear source. J Differential Equations, 2017, 263: 687- 708
doi: 10.1016/j.jde.2017.02.047
|
13 |
Wang C , Bao J . Necessary and sufcient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains. Proc Amer Math Soc, 2013, 141: 1289- 1296
|
14 |
Wang X J. The k-Hessian Equation//Change Alice, et al. Geometric Analysis and PDEs. Berlin: Springer, 2009: 177-252
|
15 |
Leggett R W , Williams L R . Multiple positive fxed points of nonlinear operators on ordered Banach spaces. Indiana Univ Math J, 1979, 28: 673- 688
|