Geodesic
The Behavior of Bounded Solutions of Quasilinear Elliptic Equations on Manifolds
Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 51-64.

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We consider the behavior of bounded solutions of quasilinear elliptic equations on a special class of Riemannian manifolds. We obtain sufficient conditions for the convergence of solutions to zero.
Keywords: quasilinear elliptic equation, Riemannian manifold, $p$-harmonic function, maximum principle, Minkowski's inequality, Harnack's inequality, capacity. 
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A. B. Ivanov. The Behavior of Bounded Solutions of Quasilinear Elliptic Equations on Manifolds. Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 51-64. http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a4/

[1] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964 | MR | Zbl