A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space

2019 ◽  
pp. 1 ◽  
Author(s):  
Francisco S. B. Albuquerque ◽  
Sami Aouaoui
Keyword(s):  
Euclidean Space ◽  
Type Inequality ◽  
Elliptic Problems ◽  
Critical Growth ◽  
Quasilinear Elliptic Problems ◽  
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.

Quasilinear elliptic problems with singular and homogeneous lower order terms

2019 ◽  
Vol 179 ◽  
pp. 105-130 ◽  
Author(s):  
José Carmona ◽  
Tommaso Leonori ◽  
Salvador López-Martínez ◽  
Pedro J. Martínez-Aparicio
Keyword(s):  
Lower Order ◽  
Elliptic Problems ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic ◽  
Lower Order Terms
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