scholarly journals Design of analog nonlinear transformations based on a Gilbert multiplier for energy detection

2021 ◽  
Vol 122 ◽  
pp. 114152
Author(s):  
R. Vauche ◽  
Z. Benjelloun ◽  
R. Belhadj Mefteh Assila ◽  
W. Rahajandraibe ◽  
R. Bouchakour ◽  
...  
2012 ◽  
Vol E95-B (4) ◽  
pp. 1076-1084 ◽  
Author(s):  
Janne J. LEHTOMÄKI ◽  
Risto VUOHTONIEMI ◽  
Kenta UMEBAYASHI ◽  
Juha-Pekka MÄKELÄ

2020 ◽  
Vol 20 (1) ◽  
pp. 77-93 ◽  
Author(s):  
Zhijun Zhang

AbstractThis paper is concerned with the existence, uniqueness and asymptotic behavior of classical solutions to two classes of models {-\triangle u\pm\lambda\frac{|\nabla u|^{2}}{u^{\beta}}=b(x)u^{-\alpha}}, {u>0}, {x\in\Omega}, {u|_{\partial\Omega}=0}, where Ω is a bounded domain with smooth boundary in {\mathbb{R}^{N}}, {\lambda>0}, {\beta>0}, {\alpha>-1}, and {b\in C^{\nu}_{\mathrm{loc}}(\Omega)} for some {\nu\in(0,1)}, and b is positive in Ω but may be vanishing or singular on {\partial\Omega}. Our approach is largely based on nonlinear transformations and the construction of suitable sub- and super-solutions.


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