Gradient estimates of a nonlinear elliptic equation for the V-Laplacian
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DOI: 10.1007/s00013-019-01419-1
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… read more here.
Keywords: gradient estimates; estimates nonlinear; nonlinear elliptic; elliptic equation ... See more keywords
Gradient estimates for nonlinear elliptic equations with first order terms
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DOI: 10.1007/s00229-020-01210-5
Abstract: We study existence and Lorentz regularity of distributional solutions to elliptic equations with measurable coefficients and either a convection or a drift first order term. The presence of such a term makes the problem not… read more here.
Keywords: gradient estimates; estimates nonlinear; elliptic equations; first order ... See more keywords