Remarks about the geometry of the Ambrosetti-Prodi problem

Nonlinear Analysis, Theory, Methods and Applications

Volumn 48, Issue 5, 2002, Pages 651-661

  Bueno, H ^a   Zumpano, A ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

Ambrosetti Prodi problem; Fold points; Nonlinear elliptic equation; Singularity theory methods

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; THEOREM PROVING;

AMBROSETTI-PRODI THEOREM; NONLINEAR OPERATORS;

MATHEMATICAL OPERATORS;

EID: 0036466641     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00198-X     Document Type: Article

References (9)

1. On the inversion of some differentiable mappings with singularities between Banach spaces
2. Complete integrability and a perturbation of a non-linear Dirichlet problem (I)
3. On the solutions of a nonlinear Dirichlet problem
4. On the range of certain weakly nonlinear elliptic partial differential equations
5. Lectures on boundary value problems of Ambrosetti-Prodi type
6. Positive solutions of semilinear elliptic problems
7. Morin singularities and global geometry in a class of ordinary differential operators
8. Singularity theory and bifurcation phenomena in differential equations