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

Xu Miao, Junfang Zhao and Xiangqing Liu
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Xu Miao: School of Science, China University of Geosciences, Beijing 100083, China
Junfang Zhao: School of Science, China University of Geosciences, Beijing 100083, China
Xiangqing Liu: Department of Mathematics, Yunnan Normal University, Kunming 650500, China

Mathematics, 2020, vol. 8, issue 9, 1-24

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.

Keywords: p -Laplacian equation; critical boundary nonlinearity; multiple solutions; the truncation method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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