scholarly journals Multiple solutions for an indefinite elliptic problem with critical growth in the gradient

2015 ◽  
Vol 144 (2) ◽  
pp. 575-586 ◽  
Author(s):  
Louis Jeanjean ◽  
Humberto Ramos Quoirin
Keyword(s):  
Elliptic Problem ◽  
Multiple Solutions ◽  
Critical Growth ◽  
Indefinite Elliptic Problem

scholarly journals Multiple solutions for a fractional elliptic problem with critical growth

2020 ◽  
Vol 269 (6) ◽  
pp. 5542-5572 ◽  
Author(s):  
O.H. Miyagaki ◽  
D. Motreanu ◽  
F.R. Pereira
Keyword(s):  
Elliptic Problem ◽  
Multiple Solutions ◽  
Critical Growth

scholarly journals Signed solution for a class of quasilinear elliptic problem with critical growth

2002 ◽  
Vol 1 (4) ◽  
pp. 531-545
Author(s):  
Claudianor Oliveira Alves ◽  
◽  
Paulo Cesar Carrião ◽  
Olímpio Hiroshi Miyagaki ◽  
◽  
...  
Keyword(s):  
Elliptic Problem ◽  
Critical Growth ◽  
Quasilinear Elliptic Problem ◽  
Quasilinear Elliptic

An existence result for multiple solutions to a Dirichlet problem

2017 ◽  
Vol 24 (1) ◽  
pp. 55-62
Author(s):  
Saeid Shokooh ◽  
Ghasem A. Afrouzi ◽  
John R. Graef
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Problem ◽  
Multiple Solutions ◽  
Existence Result ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Three Solutions ◽  
Quasilinear Elliptic Problem ◽  
Critical Point Result ◽  
Quasilinear Elliptic

AbstractThe authors establish the existence of at least three solutions to a quasilinear elliptic problem subject to Dirichlet boundary conditions in a bounded domain in ${\mathbb{R}^{N}}$. A critical point result for differentiable functionals is used to prove the results.

scholarly journals An elliptic problem with critical growth in domains with shrinking holes

2004 ◽  
Vol 198 (2) ◽  
pp. 275-300 ◽  
Author(s):  
Gongbao Li ◽  
Shusen Yan ◽  
Jianfu Yang
Keyword(s):  
Elliptic Problem ◽  
Critical Growth
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