Multiplicity theorems for semilinear Robin problems
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AbstractWe consider a semilinear Robin problem driven by the Laplacian with a reaction which does not satisfy a global growth condition, only a local one. Using variational methods coupled with truncation and perturbation techniques and Morse theory, we prove two multiplicity theorems producing four and three nontrivial solutions respectively, all with precise sign. Also, we show that our results incorporate as a special case a semilinear parametric problem which has been considered primarily in the context of Dirichlet problems.
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2012 ◽
Vol 14
(01)
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pp. 1250001
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2013 ◽
Vol 11
(03)
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pp. 1350005
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