Existence and uniqueness of positive solutions to certain differential systems

Advances in Differential Equations

Volumn 3, Issue 4, 1998, Pages 575-593

  Felmer, Patricio ^a   Martínez, Salomé ^a  

^a DEPARTAMENTO DE FÍSICA   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007909441     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. V. Barbu, Periodic solutions to unbounded Hamiltonian systems, Discrete and Con-tinuous Dynamical Systems, 1 (1995), 277-283.
2. R. Benguria, The von Weizsäcker and exchange corrections in the Thomas-Fermi theory, Dissertation, Princeton University, 1979.
3. R. Benguria, H. Brezis, and E. Lieb, The Thomas-Fermi-von Weizsäcker theory of atoms and molecules, Communs. Math. Phys., 79 (1981), 167-180.
4. H. Brezis and L. Oswald, Remarks on Sublinear elliptic equations, Nonlinear Anal-ysis, TMA, Vol. 10 (1986), 55-64.
5. Ph. Clément, D. de Figueiredo and E. Mitidieri. Positive solutions of semilinear elliptic systems, Comm. Partial Diff. Eq., 17, no 5-6, p 923-940.
6. Ph. Clément, D. de Figueiredo and E. Mitidieri, A priori estimates for positive solutions of semilinear elliptic systems via Hardy-Sobolev inequalities, Pitman Res. Notes in Math. (1996), 73-91.
7. Ph. Clément, P. Felmer and E. Mitidieri, Solutions homoclines d'un système hamil-tonien non-borné et superquadratique, C.R. Acad. Sci. Paris, t.320, Série I, (1995), 1481-1484.
8. Ph. Clément, P. Felmer and E. Mitidieri, Homoclinic orbits for a class of infinite dimensional Hamiltonian systems, Ann. Scuola Norm. Sup. Pisa., Série IV, Vol. XXIV. Fasc. 2, (1997), 367-393.
9. Ph. Clément and R.C.A.M. van der Vorst, On a semilinear elliptic system, Differ-ential and Integral Eq., 8 (1995), 1317-1329.
10. Ph. Clément, R. Manásevich, and E. Mitidieri, Positive solutions for a quasilinear system via blow up, Comm. in PDE., 18 (1993), 2071-2116.
11. J.I. Diaz and J.E. Saa, Existence et unicité de solutions positives pour certaines équations elliptiques quasilinéaires, C.R.A.S. Paris, 305, Śerie I (1987), 521-524.
12. D. De Figueiredo and P. Felmer, On Superquadratic elliptic systems, Trans. Amer. Math. Soc., 343 (1994), 99-116.
13. P. Felmer, R. Manásevich and F. De Thélin, Existence and Uniqueness of positive solutions for certain quasilinear elliptic systems, Comm. in PDE., 17 (1992), 2013-2029.
14. J. Fleckinger, J. Hernández and F. De Thélin, On maximum principles and ex-istence of positive solutions for some cooperative elliptic systems, Diff. and Int. Equations, 8 (1995), 69-85.
15. J. Fleckinger and P. Takac, Uniqueness of positive solutions for nonlinear cooper-ative systems with the p-Laplacian, Indiana Univ. Math. Journal, 43 (1994), 1227-1253.
16. J. Hulshof and R.A.C.M. van der Vorst, Differential systems with strongly indefinite structure, J. Funct. Anal., 114 (1993), 32-58.