Positive solutions of semilinear Dirichlet problems

Nonlinearity

Volumn 9, Issue 4, 1996, Pages 937-941

  Dos Anjos, Adairto Gonçalves ^a   Zumpano, Antônio ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0342772775     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/4/007     Document Type: Article

References (13)

1. de Figueiredo D G and Lions P L 1985 On pairs of positive solutions for a class of semilinear elliptic problems Indiana Univ. Math. J. 34 591-606
2. Lions P L 1982 On the existence of positive solutions of semilinear elliptic equations SIAM Review 24 441-67
3. de Figueiredo D G 1982 Positive Solutions of Semilinear Elliptic Equations (Lecture Notes in Mathematics 957) (Berlin: Springer) pp 34-87
4. Amann H 1976 Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces SIAM Review 18 620-709
5. Gelfand I M 1963 Some problems in the theory of quasilinear equations Amer. Math. Soc. Transl. Ser. 2 29 295-381
6. Joseph D D and Lundgren T S 1973 Quasilinear Dirichlet problems driven by positive sources Arch. Rat. Mech. Anal. 49 241-69
7. Crandall M G and Rabinowitz P H 1975 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems Arch. Rat. Mech. Anal. 58 207-18
8. Bandle C 1975 Existence theorems, qualitative results and a priori bounds for a class of nonlinear Dirichlet problems Arch. Rat. Mech. Anal. 58 349-81
9. Mignot F and Puel J P 1980 Sur une classe de problèmes nonlinéaires avec nonlineairité positive, croissante, convexe Commun. Part. Diff. Eq. 5 791-836
10. Strauss W 1977 Existence of solitary waves in higher dimensions Comm. Math. Phys. 55 149-62
11. Coleman S, Glazer V and Martin A 1978 Action minima among solutions to a class of Euclidean scalar equations Comm. Math. Phys. 58 211-21
12. 3) J. Funct. Anal. 41 236-75
13. 3 Int. J. Math. Stat. Sci. 4 33-8