Some Nonlinear Elliptic Equations Have Only Constant Solutions

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Abstract

We study some nonlinear elliptic equations on compact Riemannian manifolds. Our main concern is to find conditions which imply that such equations admit only constant solutions.

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Nonlinear elliptic equations;constant solutions
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Some Nonlinear Elliptic Equations Have Only Constant Solutions. (2006). Journal of Partial Differential Equations, 19(3), 208-217. https://gsp.tricubic.dev/jpde/article/view/4073