scholarly journals Application of Nonlinear Transformations to the Evaluation of Multicenter Integrals

1967 ◽  
Vol 46 (11) ◽  
pp. 4362-4368 ◽  
Author(s):  
G. A. Petersson ◽  
V. McKoy
2021 ◽  
Vol 122 ◽  
pp. 114152
Author(s):  
R. Vauche ◽  
Z. Benjelloun ◽  
R. Belhadj Mefteh Assila ◽  
W. Rahajandraibe ◽  
R. Bouchakour ◽  
...  

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.


1965 ◽  
Vol 12 (3) ◽  
pp. 317-320 ◽  
Author(s):  
J. R. Dorroh

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