Radial Solutions of Neumann Problem for Periodic Perturbations of the Mean Extrinsic Curvature Operator

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作者
Jean Mawhin
机构
[1] Université Catholique de Louvain,Institut de Recherche en Mathématique et Physique
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关键词
Primary 35J62; Secondary 35J93; Extrinsic mean curvature; Neumann problem; pendulum nonlinearity; Leray-Schauder degree; critical point theory;
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摘要
In this paper we survey some recent results on the existence and multiplicity of radial solutions for Neumann problems in a ball and in an annular domain, associated to pendulum-like perturbations of the mean extrinsic curvature operator in Minkowski space. Our approach relies on the Leray-Schauder degree, upper and lower solutions, and critical point theory.
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页码:95 / 112
页数:17
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