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
Keyword(s):  
Elliptic Equations ◽  
Gradient Term ◽  
Singular Elliptic Equations ◽  
Nonexistence Of Solutions ◽  
Quadratic Gradient

scholarly journals Elliptic equations having a singular quadratic gradient term and a changing sign datum

2012 ◽  
Vol 11 (5) ◽  
pp. 1875-1895 ◽  
Author(s):  
Daniela Giachetti ◽  
Francesco Petitta ◽  
Sergio Segura de León
Keyword(s):  
Elliptic Equations ◽  
Gradient Term ◽  
Quadratic Gradient

scholarly journals Radially symmetric solutions of a class of singular elliptic equations

1990 ◽  
Vol 33 (2) ◽  
pp. 169-180 ◽  
Author(s):  
Juan A. Gatica ◽  
Gaston E. Hernandez ◽  
P. Waltman
Keyword(s):  
Boundary Value Problem ◽  
Elliptic Equations ◽  
Boundary Value ◽  
Open Unit ◽  
Open Unit Ball ◽  
Singular Elliptic Equations ◽  
Existence Of Positive Solutions ◽  
Radially Symmetric Solutions ◽  
Image Position ◽  
Special Case

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.

scholarly journals The Dirichlet problem for singular elliptic equations with general nonlinearities

2019 ◽  
Vol 58 (4) ◽  
Author(s):  
Virginia De Cicco ◽  
Daniela Giachetti ◽  
Francescantonio Oliva ◽  
Francesco Petitta
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
Singular Elliptic Equations
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