p-Laplacian Equations in ℝ N with Finite Potential via the Truncation Method

2017 ◽  
Vol 17 (3) ◽  
Author(s):  
Xiangqing Liu ◽  
Junfang Zhao
Keyword(s):  
Truncation Method ◽  
Laplacian Equations

AbstractWe consider the problem

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

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1520
Author(s):  
Xu Miao ◽  
Junfang Zhao ◽  
Xiangqing Liu
Keyword(s):  
Infinitely Many Solutions ◽  
Laplacian Equation ◽  
Truncation Method ◽  
Critical Boundary ◽  
Laplacian Equations

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.

Uniform attractors for non-autonomous -Laplacian equations

2008 ◽  
Vol 68 (11) ◽  
pp. 3349-3363 ◽  
Author(s):  
Guang-xia Chen ◽  
Cheng-Kui Zhong
Keyword(s):  
Uniform Attractors ◽  
Laplacian Equations
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