Geodesic
Sub-elliptic boundary value problems for quasilinear operators
Electronic Journal of Differential Equations, Tome 1997 (1997).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Classical solvability and uniqueness in the Holder space $C^{2+\alpha}(\overline{\Omega})$ is proved for the oblique derivative problem $\ell(x)=(\ell^1(x),\ldots,\ell^n(x))$ is tangential to the boundary $\partial \Omega$ at the points of some non-empty set $S\subset\partial \Omega$, and the nonlinear term $b(x,\,u,\,Du)$ grows quadratically with respect to the gradient $Du$.
Classification : 35J65, 35R25
Keywords: quasilinear elliptic operator, degenerate oblique derivative problem, sub-elliptic estimates 
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     author = {Palagachev, Dian K. and Popivanov, Peter R.},
     title = {Sub-elliptic boundary value problems for quasilinear operators},
     journal = {Electronic Journal of Differential Equations},
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     volume = {1997},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a0/}
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Palagachev, Dian K.; Popivanov, Peter R. Sub-elliptic boundary value problems for quasilinear operators. Electronic Journal of Differential Equations, Tome 1997 (1997). http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a0/