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Zbl 0542.47053
Kannan, R.; Lakshmikantham, V.; Nieto, J.J.
Sufficient conditions for existence of solutions of nonlinear boundary value problems at resonance. (English)
[J] Nonlinear Anal., Theory Methods Appl. 7, 1013-1020 (1983). ISSN 0362-546X

The relationship among some of the various sufficient conditions for existence of solutions of the nonlinear problem $$ Lu=Nu, $$ where L is a linear elliptic differential operator which together with the boundary condition is noninvertible, is studied. In particular the case when the nonlinear operator N is generated by a nondecreasing function is studied in detail.

MSC 2000:: *47J05 Equations involving nonlinear operators (general)
47F05 Partial differential operators

Keywords: nonlinear boundary value problems at resnonance; linear elliptic differential operator

Cited in: Zbl 0555.47036

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