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This paper studies gradient estimates for positive solutions of the nonlinear elliptic equation $$\begin{aligned} \Delta _V(u^p)+\lambda u=0,\quad p\ge 1, \end{aligned}$$on a Riemannian manifold (M, g) with k-Bakry–Emery Ricci curvature bounded from… Click to show full abstract
This paper studies gradient estimates for positive solutions of the nonlinear elliptic equation $$\begin{aligned} \Delta _V(u^p)+\lambda u=0,\quad p\ge 1, \end{aligned}$$on a Riemannian manifold (M, g) with k-Bakry–Emery Ricci curvature bounded from below. We consider both the case where M is a compact manifold with or without boundary and the case where M is a complete manifold.
Keywords:
gradient estimates;
estimates nonlinear;
nonlinear elliptic;
elliptic equation;
equation laplacian
Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
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Journal Title: Archiv der Mathematik
Year Published: 2019
Link to full text (if available)
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recommendations!