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- W2329480458 abstract "We discuss existence and regularity of bounded variation solutions of the Dirichlet problem for the one-dimensional capillarity-type equationbegin{equation*}Big( u'/{ sqrt{1+{u'}^2}}Big)'= f(t,u) quad hbox{ in } {]-r,r[},qquadu(-r)=a, , u(r) = b.end{equation*}We prove interior regularity of solutions and we obtain a precise description of their boundary behaviour. This is achieved by a direct and elementary approach that exploits the properties of the zero set of the right-hand side $f$ of the equation." @default.
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- W2329480458 date "2013-01-01" @default.
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- W2329480458 title "Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation" @default.
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- W2329480458 doi "https://doi.org/10.3934/dcds.2013.33.305" @default.
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