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A note on resonance problems with nonlinearity bounded in one direction

Published online by Cambridge University Press:  17 April 2009

To Fu Ma  and
Luís Sanchez
To Fu Ma
Affiliation:
Departamento de Matemática, Universidade Estadual de Maringá, 87020–900 Maringá-PR, Brazil, e-mail: [email protected]
Luís Sanchez
Affiliation:
Departamento de Matemática, Faculdade de Ciências da Universidade de Lisboa, Rua Ernesto de Vasconcelos, Bloco Cl, 1700 Lisboa, Portugal, e-mail: [email protected]
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Abstract

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We prove the existence of a solution for a semilinear boundary value problem at resonance in the first eigenvalue. The nonlinearity is assumed to be bounded below or above; no further growth restrictions are assumed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 2 , October 1995 , pp. 183 - 188
Copyright
Copyright © Australian Mathematical Society 1995

References

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