On a Liouville phenomenon for entire weak supersolutions of elliptic partial differential equations |
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Authors: | Vasilii V. Kurta |
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Affiliation: | aAmerican Mathematical Society (Mathematical Reviews), 416 Fourth Street, P.O. Box 8604, Ann Arbor, MI 48107-8604, USA |
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Abstract: | We study a new Liouville-type phenomenon for entire weak supersolutions of elliptic partial differential equations of the form A(u)=0 on , n2. Typical examples of the operator A(u) are the p-Laplacian for p>1, the mean curvature operator, and their well-known modifications. |
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Keywords: | Elliptic Entire Liouville Partial differential equation Quasilinear Supersolution Weak |
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