Quasilinear elliptic equations with critical growth involving jumping nonlinearities

2020 ◽  
Vol 293 (6) ◽  
pp. 1094-1109
Author(s):  
João Marcos do Ó ◽  
Elisandra Gloss ◽  
Bruno Ribeiro
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.


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