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

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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Bibliographic Details
Published in:Mathematics (Basel) 2020-09, Vol.8 (9), p.1520
Main Authors: Miao, Xu, Zhao, Junfang, Liu, Xiangqing
Format: Article
Language:English
Subjects:
critical boundary nonlinearity
multiple solutions
p-Laplacian equation
the truncation method
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Description
Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8091520