scholarly journals Existence and Comparison Results for Quasilinear Elliptic Equations with Critical Growth in the Gradient

2001 ◽  
Vol 171 (1) ◽  
pp. 1-23 ◽  
Author(s):  
Nathalie Grenon
Keyword(s):  
Elliptic Equations ◽  
Critical Growth ◽  
Quasilinear Elliptic Equations ◽  
Comparison Results ◽  
Quasilinear 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.

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