Existence of weak solutions for a class of nonuniformly nonlinear elliptic equations in unbounded domains

2009 ◽  
Vol 70 (11) ◽  
pp. 3987-3996 ◽  
Author(s):  
Hoang Quoc Toan ◽  
Nguyen Thanh Chung
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Unbounded Domains ◽  
Nonlinear Elliptic Equations ◽  
Existence Of Weak Solutions ◽  
Nonlinear Elliptic

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.

scholarly journals Uniqueness of weak solution for nonlinear elliptic equations in divergence form

2000 ◽  
Vol 23 (5) ◽  
pp. 313-318 ◽  
Author(s):  
Xu Zhang
Keyword(s):  
Weak Solution ◽  
Weak Solutions ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Divergence Form ◽  
Uniqueness Result ◽  
Quasilinear Elliptic Equations ◽  
Nonlinear Elliptic ◽  
Quasilinear Elliptic

We study the uniqueness of weak solutions for quasilinear elliptic equations in divergence form. Some counterexamples are given to show that our uniqueness result cannot be improved in the general case.

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