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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
|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.|
|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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