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