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|Title:||Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$|
Papageorgiou, N. S.
Nonhomogeneous differential opertator
mountain pass theorem
|Publisher:||American Romanian Academy|
|Abstract:||We consider a nonlinear periodic problem driven by a nonlinear, nonhomogeneous differential operator with a reaction which exhibits an asymmetric growth at $+\infty$ and at $-\infty$. It is $\left( p-1\right) -$superlinear near $+\infty$ and $\left( p-1\right) -$ sublinear near $-\infty$. A particular case of our problem is that of periodic equations with the scalar $p-$ Laplacian and an asymmetric nonlinearity. Using variational methods and Morse theory, we prove the existence of at least three nontrivial solutions.|
|Appears in Collections:||CIDMA - Artigos|
FAAG - Artigos
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|APSPaper_LMNS_33(2013)_27-56.pdf||Documento principal||291.53 kB||Adobe PDF||View/Open|
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