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Matematicheskie Zametki, 2009, Volume 86, Issue 1, Pages 51–64
DOI: https://doi.org/10.4213/mzm5265 (Mi mzm5265) 		 
The Behavior of Bounded Solutions of Quasilinear Elliptic Equations on Manifolds

A. B. Ivanov

Centre for New Information Technologies, Moscow State University
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DOI: https://doi.org/10.4213/mzm5265
Abstract: 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.
Received: 18.06.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 1, Pages 53–64
DOI: https://doi.org/10.1134/S0001434609070062
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. B. Ivanov, “The Behavior of Bounded Solutions of Quasilinear Elliptic Equations on Manifolds”, Mat. Zametki, 86:1 (2009), 51–64; Math. Notes, 86:1 (2009), 53–64
Citation in format AMSBIB
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