Oscillation criteria for quasilinear elliptic equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 46, Issue 5, 2001, Pages 629-652

  Naito, Yuki ^a   Usami, Hiroyuki ^b  

^a KOBE UNIVERSITY   (Japan)

^b HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Comparison principles; Oscillation criteria; Quasilinear elliptic equations; Quasilinear ordinary differential equations

Indexed keywords

ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATIONS;

OSCILLATION CRITERIA; QUASILINEAR ELLIPTIC EQUATIONS; QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS;

LINEAR EQUATIONS;

EID: 16344387650     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00136-X     Document Type: Article

References (15)

1. A. Elbert, T. Kusano, Oscillation and non-oscillation theorems for a class of second order quasilinear differential equations, Acta Math. Hung. 56 (1990) 325-336.
2. Y. Kitamura, T. Kusano, An oscillation theorem for a sublinear Schrödinger equation, Utilitas Math. 14 (1978) 171-175.
3. T. Kura, Oscillation criteria for a class of sublinear elliptic equations of the second order, Utilitas Math. 22 (1982) 335-341.
4. T. Kusano, Y. Naito, Oscillation and nonoscillation criteria for second order quasilinear differential equations, Acta Math. Hung. 76 (1997) 81-99.
5. T. Kusano, C.A. Swanson, Radial entire solutions of a class of quasilinear elliptic equations, J. Differential Equations 83 (1990) 379-399.
6. T. Kusano, Y. Naito, A. Ogata, Strong oscillation and nonoscillation of quasilinear differential equations of second order, Differential Equations and Dynamical Systems 2 (1994) 1-10.
7. T. Kusano, A. Ogata, H. Usami, Oscillation theory for a class of second order quasilinear ordinary differential equations with application to partial differential equations, Japan J. Math. 19 (1993) 131-147.
8. T. Kusano, A. Ogata, H. Usami, On the oscillation of solutions of second order quasilinear ordinary differential equations, Hiroshima Math. J. 23 (1993) 645-667.
9. M. Naito, Y. Naito, H. Usami, Oscillation theory for semilinear elliptic equations with arbitrary nonlinearities, Funkcial. Ekvac. 40 (1997) 41-55.
10. K. Narukawa, T. Suzuki, Nonlinear eigenvalue problem for a modified capillary surface equations, Funkcial. Ekvac. 37 (1994) 81-100.
11. E.S. Noussair, C.A. Swanson, Oscillation theory for semilinear Schrödinger equations and inequalities, Proc. Royal Soc. Edinburgh 75A (1976) 67-81.
12. P. Pucci, J. Serrin, Continuation and limit properties for solutions of strongly nonlinear second order differential equations, Asymptotic Anal. 4 (1991) 97-160.
13. C.A. Swanson, Semilinear second order elliptic oscillation, Canad. Math. Bull. 22 (1979) 139-157.
14. P. Tolksdorf, On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Commun. Partial Differential Equations 8 (1983) 773-817.
15. H. Usami, Nonexistence of positive entire solutions for elliptic inequalities of the mean curvature type, J. Differential Equations 111 (1994) 472-480.