scholarly journals Weak Solutions of Nonlinear Elliptic Equations with Prescribed Singular Set

1996 ◽  
Vol 127 (2) ◽  
pp. 439-453 ◽  
Author(s):  
Yomna Rébaï
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Singular Set ◽  
Nonlinear Elliptic

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.

Removable singularities of fully nonlinear elliptic equations

Analysis ◽  
2007 ◽  
Vol 27 (1) ◽  
Author(s):  
Friedmar Schulz
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Singular Set ◽  
Fully Nonlinear Elliptic Equations ◽  
Fully Nonlinear ◽  
Removable Singularities ◽  
Nonlinear Elliptic ◽  
Monge Ampere

In this paper we consider fully nonlinear elliptic equations of the formincluding the Monge–Ampère, the Hessian and the Weingarten equations and give conditions which ensure that a singular set

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