Higher-Order Regularity for the Solutions of Some Degenerate Quasilinear Elliptic Equations in the Plane

1993 ◽  
Vol 24 (6) ◽  
pp. 1522-1536 ◽  
Author(s):  
W. B. Liu ◽  
John W. Barrett
Keyword(s):  
Elliptic Equations ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

scholarly journals Weak solutions of degenerated quasilinear elliptic equations of higher order

1996 ◽  
Vol 19 (4) ◽  
pp. 689-706
Author(s):  
Pavel Drábek ◽  
Alois Kufner ◽  
Francesco Nicolosi
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Weighted Sobolev Spaces ◽  
Degree Theory ◽  
Preceding Paper ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Monotone Mappings ◽  
Existence Of Weak Solutions ◽  
Quasilinear Elliptic

We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper [3].

Sign in / Sign up

Export Citation Format

Share Document