Positive Solutions of Quasilinear Boundary Value Problems

Journal of Mathematical Analysis and Applications

Volumn 217, Issue 2, 1998, Pages 672-686

  Hai, D D ^a   Schmitt, K ^b   Shivaji, R ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000589837     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5762     Document Type: Article

References (17)

1. Allegretto W., Nistri P., Zecca P. Positive solution of elliptic nonpositone problems. Differential Integral Equations. 5:1992;95-101.
2. Arcoya D., Zertiti A. Existence and nonexistence of radially symmetric nonnegative solutions for a class of semipositone problems in an annulus. Rend. Mat. 14:1994;625-646.
3. Ambrosetti A., Arcoya D., Buffoni B. Positive solutions for some semipositone problems via bifurcation theory. Differential Integral Equation. 7:1994;655-663.
4. Anuradha V., Dickens S., Shivaji R. Existence results for nonautonomous elliptic boundary value problems. Electron. J. Differential Equations. 1994.
5. Anuradha V., Hai D. D., Shivaji R. Existence results for superlinear semipositone BVPs. Proc. Amer. Math. Soc. 124:1996;757-763.
6. Castro A., Shivaji R. Semipositone problems. Semigroups of Linear and Nonlinear Operators and Applications. 1993;Kluwer Academic, Dordrecht. p. 109-119.
7. Dang H., Schmitt K. Existence of positive radial solutions for semilinear elliptic equations in annular domains. Differential Integral Equation. 7:1994;747-758.
8. Dang H., Manasevich R., Schmitt K. Positive radial solutions for some nonlinear partial differential equations. Math. Nachr. 186:1997;101-113.
9. Esteban J. R., Vazquez J. L. On the equation of turbulent filtration in one dimensional porous media. Nonlinear Anal. 10:1986;1303-1325.
10. Garaizar X. Existence of positive radial solutions for semilinear elliptic equations in the annulus. J. Differential Equations. 70:1987;69-92.
11. Gustafson G. B., Schmitt K. Nonzero solutions of boundary value problems for second order ordinary and delay differential equations. J. Differential Equations. 12:1972;129-147.
12. Herrero M. A., Vazquez J. L. On the propagation properties of a nonlinear degenerate parabolic equation. Comm. Partial Differential Equation. 7:1982;1381-1402.
13. Kaper H., Knaap M., Kwong M. Existence theorems for second order boundary value problems. Differential Integral Equation. 4:1991;543-554.
14. Lions J. L. Quelques methodes de resolution des problemes aux limites nonlineaires. 1969;Dunod, Paris.
15. Manasevich R., Schmitt K. Boundary value problems for quasilinear second order differential equations. Nonlinear Analysis and Boundary Value Problems. CISM Lecture Notes. 1996;Springer-Verlag, New York/Berlin. p. 79-119.
16. Smoller J., Wasserman A. Existence of positive solutions for semilinear elliptic equations in general domains. Arch. Rational Mech. Anal. 98:1987;229-249.
17. Zeidler E. Nonlinear Functional Analysis and Its Applications. 1990;Springer-Verlag, Berlin.