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Title: On some third order nonlinear boundary value problems: existence, location and multiplicity results
Authors: Minhós, Feliz Manuel
Keywords: Nagumo-type conditions
Lower and upper solution
Topological degree
Ambrosetti–Prodi problems
Issue Date: 2008
Abstract: We prove an Ambrosetti–Prodi type result for some third order fully nonlinear equations, with a parameter s,under several two-point separated boundary conditions. From a Nagumo-type growth condition, an a priori estimate on u'' is obtained. An existence and location result will be proved, by degree theory, for s ∈ R such that there exist lower and upper solutions. The location part can be used to prove the existence of positive solutions if a non-negative lower solution is considered. The existence, nonexistence and multiplicity of solutions will be discussed as s varies.
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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