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gradient estimate for u + au(log u)p + bu = f under the ricci soliton condition
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نویسنده
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hajiaghasi sakineh ,azami shahroud
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منبع
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هفتمين سمينار آناليز تابعي و كابردهاي آن - 1401 - دوره : 7 - هفتمین سمینار آنالیز تابعی و کابردهای آن - کد همایش: 01220-10879 - صفحه:0 -0
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چکیده
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In this paper, we consider the gradient estimate of the followingequationu + au(log u)p + bu = f;for some smooth function f and real constants a; b and we obtain anupper bound for gradient of u. as an application we obtain the gradientbound for the riemannian manifold with bakry-emery ricci curvature.
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کلیدواژه
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gradient estimate ,ricci curvature ,sobolev inequality.
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آدرس
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, iran, , iran
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Authors
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