Geodesic
Sub-elliptic boundary value problems for quasilinear operators
Electronic journal of differential equations, Tome 1997 (1997)
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 
@article{EJDE_1997__1997__a24,
     author = {Palagachev,  Dian K. and Popivanov,  Peter R.},
     title = {Sub-elliptic boundary value problems for quasilinear operators},
     journal = {Electronic journal of differential equations},
     year = {1997},
     volume = {1997},
     zbl = {0886.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a24/}
}
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%A Popivanov,  Peter R.
%T Sub-elliptic boundary value problems for quasilinear operators
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%F EJDE_1997__1997__a24
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__a24/