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- W4306757323 abstract "We study the radial solutions of the p-Laplacian Neumann problem with gradient dependence of the type − Δ p u = f ( | x | , u , | ∇ u | ) in Ω , ∂ u ∂ n = 0 on ∂ Ω , $$begin{equation*} {hspace*{8pc}leftlbrace defeqcellsep{&}begin{array}{l}-Delta _{p}u=f(|x|,u,|nabla u|)quad textrm {in} nobreakspace Omega ,[3pt] displaystyle frac{partial u}{partial {bf n}}=0quad textrm {on}nobreakspace partial Omega , end{array} right.} end{equation*}$$ where Ω ⊂ R N ( N ≥ 2 ) $Omega subset mathbb {R}^N(Nge 2)$ is either a ball or an annulus, and p > 1 $p>1$ . By using the topological transversality method together with the barrier strip technique, we obtain existence results of radial solutions to the above problem, where the nonlinearity f does not need to satisfy any growth restriction." @default.
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- W4306757323 date "2022-10-18" @default.
- W4306757323 modified "2023-09-26" @default.
- W4306757323 title "Radial solutions for <i>p</i> ‐Laplacian Neumann problems with gradient dependence" @default.
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- W4306757323 doi "https://doi.org/10.1002/mana.202000107" @default.
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