Nonexistence and existence of solutions for a supercritical p-Laplacian elliptic problem

In this paper, we obtain a general supercritical Sobolev inequality in W0,rad1,p(B) ${W}_{0,rad}^{1, p}\left(B\right)$ , where B is the unit ball in RN ${\mathbb{R}}^{N}$ . In order to discuss the sharp growth, we consider p-Laplacian elliptic problem −Δpu=uq(r)  in B,u>0  in B,u=0  on ∂B, $$\beg...

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Bibliographic Details
Main Authors: Liu Yanjun, Li Yu, Chen Yuan
Format: Article
Language:English
Published: De Gruyter 2025-06-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2023-0192
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