Geodesic
The elliptic Dirichlet problem in weight spaces
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 14-33

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The solvability of the Dirichlet problem for quasilinear elliptic second-order equations of nondivergence form is studied in the weight spaces. 
@article{ZNSL_2002_288_a1,
     author = {D. E. Apushkinskaya and A. I. Nazarov},
     title = {The elliptic {Dirichlet} problem in weight spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {14--33},
     publisher = {mathdoc},
     volume = {288},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a1/}
}
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D. E. Apushkinskaya; A. I. Nazarov. The elliptic Dirichlet problem in weight spaces. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 14-33. http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a1/