picone’s identity
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2021 ◽  
Vol 73 (4) ◽  
pp. 515-522
Author(s):  
D. T. Luyen

UDC 517.9We prove a nonlinear analogue of Picone's identity for -Laplace operator. As an application, we give a Hardy type inequality and Sturmian comparison principle.We also show the strict monotonicity of the principle eigenvalue and degenerate elliptic system.  



2019 ◽  
Vol 469 (1) ◽  
pp. 342-357
Author(s):  
Nguyen Du Vi Nhan ◽  
Dinh Thanh Duc ◽  
Vu Kim Tuan ◽  
Tran Dinh Phung
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2018 ◽  
Vol 22 ◽  
pp. 01043
Author(s):  
Tuba Gulsen ◽  
Emrah Yilmaz ◽  
Meltem Kayalı

In this paper, we consider p-Laplacian type Diffusion boundary value problem on an arbitrary time scale. We generalize some spectral properties of p-Laplacian Diffusion problem to an arbitrary time scale. Moreover, we prove Picone's identity for this problem.





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