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T1 - Dirichlet problems for mean curvature and p-harmonic equations on Cartan-Hadamard manifolds
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UR - URN:ISBN:978-951-51-3664-0; http://hdl.handle.net/10138/224177
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A1 - Heinonen, Esko
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PB - Helsingin yliopisto
Y1 - 2017
LA - eng
AB - This dissertation consists of four research articles whose unifying theme is the existence and non-existence of continuous entire non-constant solutions for nonlinear differential operators on Riemannian manifolds. The existence of such solutions depends heavily on the geometry of the manifold and, in the case of complete and simply connected Riemannian manifolds, we prove the existence under assumptions on the sectional curvature.
In the first and fourth article we study the existence of minim...
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