Existence of positive entire solutions of elliptic Hamiltonian systems

Communications in Partial Differential Equations

Volumn 23, Issue 3-4, 1998, Pages 577-599

  Serrin, James ^a   Zou, Henghui ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF ALABAMA AT BIRMINGHAM   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002569025     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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2. de Figueredo, D., and C.A. Magalhaes, On nonquadratic Hamiltonian elliptic systems, Advances Differential Eqs., 1 (1996), 881-898.
3. Hulshof, J., E. Mitidieri and R.C.A.M. van der Vorst, Strongly indefinite systems with critical Sobolev exponents, preprint.
4. McLeod, J.B. and J. Serrin, The existence of similar solutions of some laminar boundary layer problems, Arch. Rational Mech. Anal., 31 (1968), 288-303.
5. Mitidieri, E., A Rellich type identity and applications, Comm. PDE, 18 (1993), 125-151.
6. n, Quaderno Matematico, 285 (1992).
7. Pucci, P. and J. Serrin, A general variational identity, Indiana J. Math., 35 (1986), 681-703.
8. Serrin, J. and H. Zou, Non-existence of positive solutions of semilinear elliptic systems, Discourses in Mathematics and Its Applications, No. 3, Department of Mathematics, Texas A&M University, College Station, Texas, 1994, pp. 55-68.
9. Serrin, J., and H. Zou, Non-existence of positive solutions of the Lane-Emden system, Differential Integral Eqs., 9 (1996), 635-653.
10. Serrin, J. and H. Zou, Existence of positive solutions of the Lane-Emden system, to appear, Atti del Sem. Mat. Univ. Modena, 1997.
11. van der Vorst, R.C.A.M., Variational identities and applications to differential systems, Arch. Rational Mech. Anal., 116 (1991), 375-398.