Nonlinear boundary value problems involving the extrinsic mean curvature operator
(2014) Mathematica Bohemica — Vol. 139, n° 2, p. 299-313 (2014)
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- Abstract
- The paper surveys recent results obtained for the existence and multiplicity of radial solutions of Dirichlet problems of the type where B<inf>R</inf> is the open ball of center 0 and radius R in R <sup>n</sup>, and f is continuous. Comparison is made with similar results for the Laplacian. Topological and variational methods are used and the case of positive solutions is emphasized. The paper ends with the case of a general domain
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Mawhin, J. (2014). Nonlinear boundary value problems involving the extrinsic mean curvature operator. Mathematica Bohemica, 139(2), 299-313. https://hdl.handle.net/2078.5/84443 (Original work published 2014)