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
1996 ◽  
Vol 19 (4) ◽  
pp. 689-706
Author(s):  
Pavel Drábek ◽  
Alois Kufner ◽  
Francesco Nicolosi

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].


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