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|Type:||Artigo de periódico|
|Title:||ON THE PERIODIC FUCIK SPECTRUM AND A SUPERLINEAR STURM-LIOUVILLE EQUATION|
|Abstract:||In the first part of the paper a variational characterisation of the periodic eigenvalues (the so-called Fucik spectrum) of a semilinear, positive homogeneous Sturm-Liouville equation is given. The proof relies on the S1-invariance of the equation. In the second part a nonlinear Sturm-Liouville equation with, typically, an exponential nonlinearity is considered. It is proved that under certain conditions this equation is solvable for arbitrary forcing terms. The proof uses a comparison of the minimax levels of the functional associated to this equation with suitable values in the Fucik spectrum.|
|Editor:||Royal Soc Edinburgh|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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