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On a Liouville phenomenon for entire weak supersolutions of elliptic partial differential equations
Authors:Vasilii V Kurta  
Institution:aAmerican Mathematical Society (Mathematical Reviews), 416 Fourth Street, P.O. Box 8604, Ann Arbor, MI 48107-8604, USA
Abstract:We study a new Liouville-type phenomenon for entire weak supersolutions of elliptic partial differential equations of the form A(u)=0 on View the MathML source, ngreater-or-equal, slanted2. Typical examples of the operator A(u) are the p-Laplacian for p>1, the mean curvature operator, and their well-known modifications.
Keywords:Elliptic  Entire  Liouville  Partial differential equation  Quasilinear  Supersolution  Weak
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