Nonexistence of solutions for singular elliptic equations with a quadratic gradient term

2012 ◽  
Vol 75 (15) ◽  
pp. 5845-5850 ◽  
Author(s):  
Wenshu Zhou ◽  
Xiaodan Wei ◽  
Xulong Qin
2012 ◽  
Vol 11 (5) ◽  
pp. 1875-1895 ◽  
Author(s):  
Daniela Giachetti ◽  
Francesco Petitta ◽  
Sergio Segura de León

1990 ◽  
Vol 33 (2) ◽  
pp. 169-180 ◽  
Author(s):  
Juan A. Gatica ◽  
Gaston E. Hernandez ◽  
P. Waltman

The boundary value problemis studied with a view to obtaining the existence of positive solutions in C1([0, 1])∩C2((0, 1)). The function f is assumed to be singular in the second variable, with the singularity modeled after the special case f(x, y) = a(x)y−p, p>0.This boundary value problem arises in the search of positive radially symmetric solutions towhere Ω is the open unit ball in ℝN, centered at the origin, Γ is its boundary and |x| is the Euclidean norm of x.


Author(s):  
Virginia De Cicco ◽  
Daniela Giachetti ◽  
Francescantonio Oliva ◽  
Francesco Petitta

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