Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space
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DOI: 10.1186/s13661-018-0963-5
Abstract: In this paper, we consider a one-dimensional mean curvature equation in Minkowski space and the corresponding one-parameter problem. By using a fixed point theorem of cone expansion and compression of norm type, the existence and… read more here.
Keywords: mean curvature; equation minkowski; one dimensional; minkowski space ... See more keywords
On functions of bounded β-dimensional mean oscillation
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DOI: 10.1515/acv-2022-0084
Abstract: Abstract In this paper, we define a notion of β-dimensional mean oscillation of functions u : Q 0 ⊂ ℝ d → ℝ {u:Q_{0}\subset\mathbb{R}^{d}\to\mathbb{R}} which are integrable on β-dimensional subsets of the cube Q 0… read more here.
Keywords: dimensional mean; beta; mean oscillation; bounded dimensional ... See more keywords