Two solutions for a singular elliptic equation with critical growth at infinity

2022 ◽  
Vol 63 ◽  
pp. 103419
Author(s):  
Marcelo F. Furtado ◽  
Karla Carolina V. de Sousa
Keyword(s):  
Elliptic Equation ◽  
Critical Growth ◽  
Singular Elliptic Equation

Free boundary solutions to a log-singular elliptic equation

2013 ◽  
Vol 82 (1-2) ◽  
pp. 91-107 ◽  
Author(s):  
Marcelo Montenegro ◽  
Sebastián Lorca
Keyword(s):  
Elliptic Equation ◽  
Free Boundary ◽  
Singular Elliptic Equation ◽  
Boundary Solutions

A Regularity Theorem for a Singular Elliptic Equation

1983 ◽  
Vol 14 (3) ◽  
pp. 223-236 ◽  
Author(s):  
P. D. Smith ◽  
Murray H. Protter
Keyword(s):  
Elliptic Equation ◽  
Regularity Theorem ◽  
Singular Elliptic Equation

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.

Positive solution for a class of -singular elliptic equation

2014 ◽  
Vol 16 ◽  
pp. 163-169 ◽  
Author(s):  
Francisco Julio S.A. Corrêa ◽  
Amanda S.S. Corrêa ◽  
Giovany M. Figueiredo
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Singular Elliptic Equation
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