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Radial solutions for Neumann problems with \(\phi\)-Laplacians and pendulum-like nonlinearities. (English) Zbl 1193.35083
Summary: We study the existence and multiplicity of radial solutions for Neumann problems in a ball and in an annular domain, associated to pendulum-like perturbations of mean curvature operators in Euclidean and Minkowski spaces and of the \(p\)-Laplacian operator. Our approach relies on the Leray-Schauder degree and the upper and lower solutions method.

MSC:
35J92 Quasilinear elliptic equations with \(p\)-Laplacian
35J25 Boundary value problems for second-order elliptic equations
35J20 Variational methods for second-order elliptic equations
35J93 Quasilinear elliptic equations with mean curvature operator
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