p-Laplacian Equations in  R  +  N  with Critical Boundary Nonlinearity

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 07 Sep 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 1,520 (eissn: 2227-7390,

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Authors: Xu Miao; Junfang Zhao; Xiangqing Liu;

doi: 10.3390/math8091520

p-Laplacian Equations in R + N with Critical Boundary Nonlinearity

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Abstract

In this paper, we consider the following p-Laplacian equation in R+N with critical boundary nonlinearity. The existence of infinitely many solutions of the equation is proved via the truncation method.

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Keywords

the truncation method, multiple solutions, <i>p</i>-Laplacian equation, critical boundary nonlinearity

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