Qualitative properties of ground states for singular elliptic equations with weights

Annali di Matematica Pura ed Applicata

Volumn 185, Issue SUPPL. 5, 2006, Pages

  Pucci, Patrizia ^a   García Huidobro, Marta ^b   Manásevich, Raúl ^c   Serrin, James ^d  

^a UNIVERSITY OF PERUGIA   (Italy)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^c UNIVERSITY OF CHILE   (Chile)

^d University of Minnesota   (United States)

Author keywords

Ground states; m Laplacian operator; Uniqueness; Weight functions

Indexed keywords

EID: 33745300101     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-004-0143-3     Document Type: Article

References (24)

1. Batt, J., Faltenbacher, W., Horst, E.: Stationary spherically symmetric models in stellar dynamics. Arch. Ration. Mech. Anal. 93, 159-183 (1986)
2. N, N ≥ 3. Commun. Partial Differ. Equations 16, 1549-1572 (1991)
3. Clément, Ph., Manasevich, R., Mitidieri, E.: Some Existence and Non-Existence Results for a Homogeneous Quasilinear Problem. Asymptotic Anal. 17, 13-29 (1998)
4. 3 = 0 and a variational characterization of other solutions. Arch. Ration. Mech. Anal. 46, 81-95 (1972)
5. N with a non-Lipschizian nonlinearity. Adv. Differ. Equ. 1, 199-218 (1996)
6. N, N ≥ 3. Arch. Ration. Mech. Anal. 142, 127-141 (1998)
7. Erbe, L., Tang, M.: Uniqueness theorems for positive solutions of quasilinear elliptic equations in a ball. J. Differ. Equations 138, 351-379 (1997)
8. N. Adv. Math. 118, 177-243 (1996)
9. García-Huidobro, M., Kufner, A., Manásevich, R., Yarur, C.: Radial solutions for a quasilinear equation via Hardy inequalities. Adv. Differ. Equ. 6, 1517-1540 (2001)
10. Gazzola, F., Serrin, J., Tang, M.: Existence of ground states and free boundary value problems for quasilinear elliptic operators. Adv. Differ. Equ. 5, 1-30 (2000)
11. Goncalves, J.V., Santos, C.A.P.: Positive solutions for a class of quasilinear singular equations. Electron. J. Differ. Equ. 2004, 1-15 (2004)
12. n. J. Math. Soc. Japan 45, 719-742 (1993)
13. n. Arch. Ration. Mech. Anal. 105, 243-266 (1989)
14. Matukuma, T.: The cosmos. Tokyo: Iwanami Shoten 1938
15. N, II. Trans. Am. Math. Soc. 339, 495-505 (1993)
16. N. Arch. Ration. Mech. Anal. 99, 115-145 (1987)
17. Montefusco, E., Pucci, P.: Existence of radial ground states for quasilinear elliptic equations. Adv. Differ. Equ. 6, 959-986 (2001)
18. Peletier, L.A., Serrin, J.: Uniqueness of positive solutions of semilinear equations. Arch. Ration. Mech. Anal. 81, 181-197 (1983)
19. Peletier, L. A., Serrin, J.: Uniqueness of non-negative solutions of semilinear equations. J. Differ. Equations 61, 380-397 (1986)
20. Pucci, P., Serrin, J.: Uniqueness of ground states for quasilinear elliptic operators. Indiana Univ. Math. J. 47, 501-528 (1998)
21. Pucci, P., Serrin, J.: Uniqueness of ground states for quasilinear elliptic equations in the exponential case. Indiana Univ. Math. J. 47, 529-539 (1998)
22. Pucci, P., Serrin, J.: The strong maximum principle revisited. J. Differ. Equations 196, 1-66 (2004), Erratum, J. Differ. Equations 207, 226-227 (2004)
23. Serrin, J., Tang, M.: Uniqueness of ground states for quasilinear elliptic equations. Indiana Univ. Math. J. 49, 897-923 (2000)
24. Tso, K.: On symmetrization and Hessian operators. J. Anal. Math. 52, 94-106 (1989)