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Compactness by maximality

Show simple item record Zagatti, Sandro 2018-05-24T07:53:14Z 2018-05-24T07:53:14Z 2011
dc.description.abstract We derive a compactness property in the Sobolev space $W^{1,1}(\O)$ in order to study the Dirichlet problem for the eikonal equation \begin{displaymath} \begin{cases} \ha |\n u(x)|^2 - a(x) = 0 & \ \textrm{in} \ \O\cr u(x)=\varphi(x) & \ \textrm{on} \ \partial \O, \end{cases} \end{displaymath} without continuity assumptions on the map $a$. en_US
dc.language.iso en en_US
dc.subject Eikonal equation; Strong compactness en_US
dc.title Compactness by maximality en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US

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