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This article is cited in 2 scientific papers (total in 2 papers)
Real, complex and functional analysis
On the solvability of boundary value problems for quasilinear elliptic equations on noncompact Riemannian manifolds
E. A. Mazepa Volgograd State University, pr. Universitetsky, 100, 400062, Volgograd, Russian Federation
Abstract:
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, nonnegative solution, noncompact Riemannian manifolds, the Dirichlet problem.
Received April 1, 2016, published November 22, 2016
Citation:
E. A. Mazepa, “On the solvability of boundary value problems for quasilinear elliptic equations on noncompact Riemannian manifolds”, Sib. Èlektron. Mat. Izv., 13 (2016), 1026–1034
Linking options:
https://www.mathnet.ru/eng/semr731 https://www.mathnet.ru/eng/semr/v13/p1026
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Abstract page: | 181 | Full-text PDF : | 55 | References: | 53 |
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