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

Mawhin, Jean
(2011) Milan Journal of Mathematics — Vol. 79, n° 1, p. 95-112 (2011)

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  • Mawhin, JeanUCLouvain
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Abstract
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. © 2011 Springer Basel AG.
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Mawhin, J. (2011). Radial Solutions of Neumann Problem for Periodic Perturbations of the Mean Extrinsic Curvature Operator. Milan Journal of Mathematics, 79(1), 95-112. https://doi.org/10.1007/s00032-011-0148-5 (Original work published 2011)