CodiceQDD 61
TitoloMultiple variational solutions to nonlinear Steklov problems
Autore/iC.D. Pagani; D. Pierotti
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AbstractWe consider the problem of finding a harmonic function in a bounded domain, satisfying a nonlinear Steklov boundary condition with indefinite weight functions. The non linear term is represented by a continuously differentiable odd function with superlinear and subcritical growth at infinity. By using variants of the mountain pass lemma based on index theory, we discuss existence and multiplicity of non trivial solutions to the problem.