Existence of positive solutions of quasilinear degenerate elliptic equations on unbounded domains

1991 ◽  
Vol 158 (1) ◽  
pp. 315-330 ◽  
Author(s):  
Giovanna Citti
Keyword(s):  
Positive Solutions ◽  
Elliptic Equations ◽  
Unbounded Domains ◽  
Degenerate Elliptic Equations ◽  
Existence Of Positive Solutions ◽  
Degenerate Elliptic

scholarly journals Positive solutions of critical quasilinear elliptic problems in general domains

1998 ◽  
Vol 3 (1-2) ◽  
pp. 65-84 ◽  
Author(s):  
Filippo Gazzola
Keyword(s):  
Positive Solutions ◽  
Elliptic Equations ◽  
Elliptic Problems ◽  
Unbounded Domains ◽  
Critical Growth ◽  
Quasilinear Elliptic Equations ◽  
Existence Of Positive Solutions ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic

We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.

scholarly journals ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains

2016 ◽  
Vol 18 (04) ◽  
pp. 1550075 ◽  
Author(s):  
I. Birindelli ◽  
I. Capuzzo Dolcetta ◽  
A. Vitolo
Keyword(s):  
Elliptic Equations ◽  
Unbounded Domains ◽  
Nonlinear Elliptic Equations ◽  
Degenerate Elliptic Equations ◽  
Fully Nonlinear Elliptic Equations ◽  
Fully Nonlinear ◽  
Nonlinear Elliptic ◽  
Geometric Conditions ◽  
Degenerate Elliptic ◽  
Hölder Estimates

We prove global Hölder estimates for solutions of fully nonlinear elliptic or degenerate elliptic equations in unbounded domains under geometric conditions à la Cabré.

Sign in / Sign up

Export Citation Format

Share Document