[1] |
Alexandrov, A. D.: A characteristic property of the spheres. Ann. mat. Pura appl. 58, 303-315 (1962) |

[2] |
Bandle, C.; Levine, H. A.: On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains. Trans. amer. Math. soc. 316, 595-622 (1989) · Zbl 0693.35081 |

[3] |
Berestycki, H.: Qualitative properties of semilinear elliptic equations in unbounded domains. Pitman res. Notes math. Ser. 350 (1996) · Zbl 0887.35054 |

[4] |
Berestycki, H.; Nirenberg, L.: On the method of moving planes and the sliding method. Bol. soc. Bras. mat. 22, 1-37 (1991) · Zbl 0784.35025 |

[5] |
Berestycki, H.; Caffarelli, L.; Nirenberg, L.: Symmetry for elliptic equations in a half space. RMA res. Notes appl. Math. 29 (1993) · Zbl 0793.35034 |

[6] |
Berestycki, H.; Caffarelli, L.; Nirenberg, L.: Monotonicity for elliptic equations in unbounded Lipschitz domains. Comm. pure appl. Math. 50, 1089-1111 (1997) · Zbl 0906.35035 |

[7] |
H. Berestycki, L. Caffarelli, and, L. Nirenberg, Further qualitative properties for elliptic equations in unbounded domains, preprint, 1997. · Zbl 1079.35513 |

[8] |
J. Busca, Symmetry and nonexistence results for Emden-Fowler equations in cones, preprint, 1998. · Zbl 1056.35062 |

[9] |
Caffarelli, L.; Gidas, B.; Spruck, J.: Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Comm. pure appl. Math. 42, 272-297 (1989) · Zbl 0702.35085 |

[10] |
Chen, Wenxiong; Li, Congming: Classification of solutions of some nonlinear elliptic equations. Duke math. J. 63, 615-622 (1991) · Zbl 0768.35025 |

[11] |
Dancer, E. N.: Some notes on the method of moving planes. Bull. austral. Math. soc. 46, 425-434 (1992) · Zbl 0777.35005 |

[12] |
Esteban, M. J.; Lions, P. L.: Existence and non-existence results for semilinear elliptic problems in unbounded domains. Proc. royal soc. Edinburgh A 93, 1-14 (1982) · Zbl 0506.35035 |

[13] |
Gidas, B.; Ni, Wei-Ming; Nirenberg, L.: Symmetry and related problems via the maximum principle. Comm. math. Phys. 68, 209-243 (1979) · Zbl 0425.35020 |

[14] |
Gidas, B.; Ni, Wei-Ming; Nirenberg, L.: Symmetry of positive solutions of nonlinear equations in rn. Math. anal. Appl. part A, adv. Math. suppl. Studies A 7, 369-402 (1981) · Zbl 0469.35052 |

[15] |
Gidas, B.; Spruck, J.: Global and local behavior of positive solutions of nonlinear elliptic equations. Comm. pure appl. Math. 34, 525-598 (1981) · Zbl 0465.35003 |

[16] |
Gidas, B.; Spruck, J.: A priori bounds for positive solutions of nonlinear elliptic equations. Comm. partial differential equations 6, 883-901 (1981) · Zbl 0462.35041 |

[17] |
Lazer, A. C.; Mckenna, P. J.: On a singular nonlinear elliptic boundary value problem. Proc. amer. Math. soc. 111, 721-730 (1991) · Zbl 0727.35057 |

[18] |
Li, Congming: Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. Comm. partial differential equations 16, 585-615 (1991) · Zbl 0741.35014 |

[19] |
J. McCuan, Symmetry via spherical reflection, J. Geom. Anal, to appear. · Zbl 1010.53007 |

[20] |
Mitidieri, E.: A Rellich type identity and applications. Comm. partial differential equations 18, 125-151 (1993) · Zbl 0816.35027 |

[21] |
Mitidieri, E.: Nonexistence of positive solutions of semilinear elliptic systems in RN. Differential integral equations 9, 465-479 (1996) · Zbl 0848.35034 |

[22] |
Padilla, P.: Symmetry properties of positive solutions of elliptic equations on symmetric domains. Appl. anal. 64, 153-169 (1997) · Zbl 0942.35084 |

[23] |
Pohovzaev, S. I.: Eigenfunctions of the equation ${\Delta}u+{\lambda}f(u)=0$. Soviet math. Dokl. 6, 1408-1411 (1965) · Zbl 0141.30202 |

[24] |
Pucci, P.; Serrin, J.: A general variational identity. Indiana univ. J. 35, 681-703 (1986) · Zbl 0625.35027 |

[25] |
Serrin, J.: A symmetry theorem in potential theory. Arch. rational mech. Anal. 43, 304-318 (1971) · Zbl 0222.31007 |

[26] |
Van Der Vorst, R. C. A.M.: Variational identities and applications to differential systems. Arch. rational mech. Anal. 116, 375-398 (1991) · Zbl 0796.35059 |

[27] |
Zou, Henghui: Symmetry of positive solutions of ${\Delta}$u+up=0 in rn. J. differential equations 120, 46-88 (1995) · Zbl 0844.35028 |

[28] |
Zou, Henghui: Slow decay and the Harnack inequality for positive solutions of ${\Delta}$u+up=0 in rn. Differential integral equations 8, 1355-1368 (1995) · Zbl 0849.35028 |