Existence of positive solutions of quasilinear degenerate elliptic equations on unbounded domains

1991 ◽  
Vol 158 (1) ◽  
pp. 315-330 ◽  
Author(s):  
Giovanna Citti
1998 ◽  
Vol 3 (1-2) ◽  
pp. 65-84 ◽  
Author(s):  
Filippo Gazzola

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.


2016 ◽  
Vol 18 (04) ◽  
pp. 1550075 ◽  
Author(s):  
I. Birindelli ◽  
I. Capuzzo Dolcetta ◽  
A. Vitolo

We prove global Hölder estimates for solutions of fully nonlinear elliptic or degenerate elliptic equations in unbounded domains under geometric conditions à la Cabré.


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