Nodal solutions for nonlinear nonhomogeneous Neumann equations
Słowa kluczowe
Nonlinear regularity, nonhomogeneous differential operator, unique solution of constant sign, extremal solutions of constant sign, nodal solutionAbstrakt
We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator with a Caratheodory reaction which is $(p-1)$-sublinear near $\pm\infty$. Using variational tools we show that the problem has at least three nontrivial smooth solutions (one positive, one negative and a third nodal). Our formulation unifies problems driven by the $p$-Laplacian, the $(p,q) $ Laplacian and the $p$-generalized mean curvature operator.Pobrania
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2016-04-12
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AIZICOVICI, Sergiu, PAPAGEORGIOU, Nikolaos S. & STAICU, Vasile. Nodal solutions for nonlinear nonhomogeneous Neumann equations. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 43, nr 2, s. 421–438. [udostępniono 22.7.2024].
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