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- W4312141072 abstract "This paper deals with the existence of solutions of the elliptic equation with nonlinear gradient term -Δu=f(x,u,∇u) on Ω restricted by the boundary condition u|∂Ω=0, where Ω is a bounded domain in RN with sufficiently smooth boundary ∂Ω, N≥2, and f:Ω¯×R×RN→R is continuous. The existence results of classical solutions and positive solutions are obtained under some inequality conditions on the nonlinearity f(x,ξ,η) when |(ξ,η)| is small or large enough." @default.
- W4312141072 created "2023-01-04" @default.
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- W4312141072 date "2022-12-15" @default.
- W4312141072 modified "2023-09-30" @default.
- W4312141072 title "Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms" @default.
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- W4312141072 doi "https://doi.org/10.3390/e24121829" @default.
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