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Existence of positive solutions for critical p-Laplacian equation with critical Neumann boundary condition

In this article, we consider the existence and nonexistence of positive solutions for the following critical Neumann problem: −Δpu+λup−1=up*−1+f(x,u),x∈Ω;∣∇u∣p−2∇u⋅ν=up♯−1,x∈∂Ω,\left\{\begin{array}{ll}-{\Delta }_{p}u+\lambda {u}^{p-1}={u}^{{p}^{* }-1}+f\left(x,u),& x\in \Omega ;\\ {| \nabla u| }^{p-...

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Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Deng Yinbin, Shi Yulin, Xu Liangshun
Formáid: Artigo
Teanga:Inglês
Foilsithe / Cruthaithe: De Gruyter 2025-09-01
Sraith:Advances in Nonlinear Analysis
Ábhair:
Rochtain ar líne:https://doi.org/10.1515/anona-2025-0109
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