Primary 35J62;
Secondary 35J93;
Extrinsic mean curvature;
Neumann problem;
pendulum nonlinearity;
Leray-Schauder degree;
critical point theory;
D O I:
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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.
机构:
Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Wang, Shaohong
Zhou, Zhan
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机构:
Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China