Resultados do tipo Ambrosetti-Prodi para problemas quasilineares

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Universidade Federal de São Carlos

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We present results of Ambrosseti-Prodi type to quasilinear problems involving the p-Laplace operator. We consider the scalar case and a a problem with systems of equations. In the scalar case, we work with the conditions of Neumann and Dirichlet. In the problem involving system, we consider the condition og Dirichlet. In order to get the results we use the theory of Leray-Schauder degree and a priori estimates.

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NASCIMENTO, Moisés Aparecido do. Resultados do tipo Ambrosetti-Prodi para problemas quasilineares. 2015. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/7640.

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