Remarks on superlinear boundary value problems
- 17 April 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 16 (2) , 181-188
- https://doi.org/10.1017/s0004972700023170
Abstract
Necessary and sufficient conditions for the weak solvability of the Dirichlet problem for nonlinear differential equations of the second order are proved. The differential operators considered are in the form of a sum of a linear noninvertible operator, with the null-space generated by a positive function, and a monotone nonlinear perturbation, the growth of which is more than linear.Keywords
This publication has 4 references indexed in Scilit:
- Remarks on some quasilinear elliptic equationsCommunications on Pure and Applied Mathematics, 1975
- Ranges of nonlinear asymptotically linear operatorsJournal of Differential Equations, 1975
- Nonlinear equations with noninvertible linear partCzechoslovak Mathematical Journal, 1974
- On the inversion of some differentiable mappings with singularities between Banach spacesAnnali di Matematica Pura ed Applicata (1923 -), 1972