Existence of radial bounded solutions for some quasilinear elliptic equations in RN

Nonlinear Analysis(2020)

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摘要
We study the quasilinear equation (P)−div(A(x,u)|∇u|p−2∇u)+1pAt(x,u)|∇u|p+|u|p−2u=g(x,u)inRN,with N≥3, p>1, where A(x,t), At(x,t)=∂A∂t(x,t) and g(x,t) are Carathéodory functions on RN×R.
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关键词
35J20,35J92,35Q55,58E05
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