scholarly journals Geometric Approach to Nonvariational Singular Elliptic Equations

2013 ◽  
Vol 209 (3) ◽  
pp. 1019-1054 ◽  
Author(s):  
Damião Araújo ◽  
Eduardo V. Teixeira
Keyword(s):  
Elliptic Equations ◽  
Geometric Approach ◽  
Singular Elliptic Equations

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

On singular elliptic equations involving oscillatory terms

2010 ◽  
Vol 72 (3-4) ◽  
pp. 1561-1569
Author(s):  
Alexandru Kristály
Keyword(s):  
Elliptic Equations ◽  
Singular Elliptic Equations

scholarly journals On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloids

2017 ◽  
Vol 20 (01) ◽  
pp. 1750012 ◽  
Author(s):  
Nam Q. Le
Keyword(s):  
Elliptic Equation ◽  
Harnack Inequality ◽  
Lower Order ◽  
Elliptic Equations ◽  
Singular Elliptic Equation ◽  
Large Gradient ◽  
Singular Elliptic Equations ◽  
Monge Ampere ◽  
Lower Order Terms ◽  
Linear Degenerate

We use the method of sliding paraboloids to establish a Harnack inequality for linear, degenerate and singular elliptic equation with unbounded lower order terms. The equations we consider include uniformly elliptic equations and linearized Monge–Ampère equations. Our argument allows us to prove the doubling estimate for functions which, at points of large gradient, are solutions of (degenerate and singular) elliptic equations with unbounded drift.

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