Geodesic
On the solvability of boundary value problems for quasilinear elliptic equations on noncompact Riemannian manifolds
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1026-1034

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In this paper we study the questions of the solvability for certain boundary and external boundary value problems for quasilinear elliptic equations on arbitrary non-compact Riemannian manifolds. We compare the behavior of unbounded functions "at infinity", using a new approach which is based on the consideration of equivalence classes of functions on $M$.
Keywords: quasilinear elliptic equation, boundary value problem, stability of the solvability, noncompact Riemannian manifolds, the Dirichlet problem.
Mots-clés : nonnegative solution 
@article{SEMR_2016_13_a105,
     author = {E. A. Mazepa},
     title = {On the solvability of boundary value problems for quasilinear elliptic equations on noncompact {Riemannian} manifolds},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1026--1034},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a105/}
}
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E. A. Mazepa. On the solvability of boundary value problems for quasilinear elliptic equations on noncompact Riemannian manifolds. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1026-1034. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a105/