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Remarks on superlinear boundary value problems

Published online by Cambridge University Press:  17 April 2009

Svatopluk Fučík
Svatopluk Fučík
Affiliation:
Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Czechoslovakia.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 2 , April 1977 , pp. 181 - 188
Copyright
Copyright © Australian Mathematical Society 1977

References

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