Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type

Nonlinearity

Volumn 15, Issue 4, 2002, Pages 1073-1077

  Bueno, H ^a   Tomei, C ^b  

^a Department of Chemistry   (Brazil)

^b PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013464165     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/15/4/306     Document Type: Article

References (10)

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2. Berger M S and Podolak E 1975 On the solutions of a nonlinear Dirichlet problem Indiana Univ. Math. J. 24 837-46
3. Bueno H and Zumpano A 2002 Remarks about the geometry of the Ambrosetti-Prodi problem Nonlinear Analysis 48 651-61
4. Cafagna V 1990 Global invertibility and finite solvability Nonlinear Funct. Anal. Lecture Notes Pure Appl. Math. vol 121, ed P S Milojević (New York: Marcel Dekker)
5. Coddington E and Levinson N 1955 Theory of Ordinary Differential Equations (New York: McGraw-Hill)
6. Malta I, Saldanha N C and Tomei C 1997 Morin singularities and global geometry in a class of ordinary differential operators Top. Meth. Nonlinear Anal. 10 137-69
7. McKean H P and Scovel J C 1986 Geometry of some simple nonlinear differential operators Ann. Sc. Norm. Sup.-Pisa Ser. 4 13-2 299-346
8. McKean H P 1987 Singularities of a simple elliptic operator J. Differential Geometry 25 157-65 McKean H P 1992 Correction to singularities of a simple elliptic operator J. Differential Geometry 36 255
9. McKean H P 1987 Singularities of a simple elliptic operator J. Differential Geometry 25 157-65 McKean H P 1992 Correction to singularities of a simple elliptic operator J. Differential Geometry 36 255
10. Ruf B 1997 Singularity theory and bifurcation phenomena in differential equations Topological Nonlinear Analysis If (Frascati, 1995) (Progr. Nonlinear Differential Equations Appl. 27) (Boston: Birkhäuser) pp 315-95