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The Behavior of Bounded Solutions of Quasilinear Elliptic Equations on Manifolds
A. B. Ivanov Centre for New Information Technologies, Moscow State University
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
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
Linking options:
https://www.mathnet.ru/eng/mzm5265https://doi.org/10.4213/mzm5265 https://www.mathnet.ru/eng/mzm/v86/i1/p51
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Statistics & downloads: |
Abstract page: | 448 | Full-text PDF : | 183 | References: | 62 | First page: | 9 |
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