Some existence and non-existence results for a homogeneous quasilinear problem

Asymptotic Analysis

Volumn 17, Issue 1, 1998, Pages 13-29

  Clément, Philippe ^a   Manásevich, Raúl ^b   Mitidieri, Enzo ^c  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b DEPARTAMENTO DE FÍSICA   (Chile)

^c UNIVERSITY OF TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011139942     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. J. Batt, W. Faltenbacher and E. Horst, Stationary spherically symmetric models in stellar dynamics, Arch. Rational Mech. Anal. 93 (1986), 159-183.
2. N, Indiana Univ. Math. J. 30 (1981), 141-157.
3. G. Bliss, An integral inequality, J. London Math. Soc. 5 (1930), 40-46.
4. Yu. Bozhkov, On a quasilinear system involving k-Hessian operators, Adv. in Diff. Equations 2 (1997), 403-426.
5. G. Caristi and E. Mitidieri, Non-existence of positive solutions of quasilinear elliptic equations, Adv. in Diff. Equations 2 (1997), 319-359.
6. P. Clément, R. Manásevich and E. Mitidieri, Positive solutions for a quasilinear system via blow up, Comm. Partial Differential Equations 18 (1993), 2071-2106.
7. p-2u′)′ + f(t, u) = 0, u(0) = u(T) = 0, p > 1, J. Differential Equations 80 (1989), 1-13.
8. (N+2)/(N-2) = 0 and related topics, Duke Math. J. 52 (1985), 486-506.
9. F. Ferrari, Ground states solutions for k-Hessian operators, Boll. Un. Mat. Ital. B 7(9) (1995), 553-586.
10. T. Kusano and M. Naito, Positive radial solutions of superlinear elliptic equations, Hiroshima Math. J. 16 (1986), 361-366.
11. T. Kusano and M. Naito, Oscillation theory of entire solutions of second order superlinear elliptic equations, Funkcial. Ekvac. 30 (1987), 269-282.
12. E. Mitidieri, A Rellich type identity and applications, Comm. Partial Differential Equations 18(1/2) (1993), 125-151.
13. N, Differential Integral Equations 9 (1995), 465-479.
14. E. Mitidieri, G. Sweers and R.C.A.M. van der Vorst, Nonexistence theorems for systems of quasilinear partial differential equations, Differential Integral Equations 8 (1995), 1331-1354.
15. (N+2)/(N-2) = 0 its generalization, and applications in geometry, Indiana Univ. Math. J. 31 (1982), 493-529.
16. W.-M. Ni and S. Yotsutani, Semilinear elliptic equations of Matukuma-type and related topics, Japan J. Appl. Math. 5 (1988), 1-32.
17. W.-M. Ni and J. Serrin, Existence and non-existence theorems for ground states for quasilinear partial differential equations, the anomalous case, Atti Convegni Lincei 77 (1985), 231-257.
18. W.-M. Ni and J. Serrin, Existence and non-existence theorems for ground states for quasilinear partial differential equations, Atti Convegni Lincei 77 (1985), 231-257.
19. W.-M. Ni and J. Serrin, Non-existence theorems for quasilinear partial differential equations, Rend. Circ. Mat. Palermo 8(Suppl.) (1985), 171-185.
20. S.-I. Pohozaev, Eigenfunctions of the equation Δu + λf(u) = 0, Soviet Math. Dokl. 5 (1965). 1408-1411.
21. P. Pucci and J. Serrin, A general variational identity, Indiana Univ. Math. J. 35 (1986). 681-703.
22. K. Tso, On symmetrization and Hessian equations, J. Analyse Math. 52 (1989), 94-106.
23. K. Tso, Remarks on the critical exponents for Hessian operators, Ann. Inst. H. Poincaré Anal. Non-Linéaire 7 (1990), 113-122.
24. R.C.A.M. van der Vorst, Variational identities and applications to differential systems, Arch. Rational Mech. Anal. 116 (1991), 375-398.