scholarly journals Multiplicity of solutions for a biharmonic equation with subcritical or critical growth

2013 ◽  
Vol 20 (3) ◽  
pp. 519-534 ◽  
Author(s):  
Giovany M. Figueiredo ◽  
Marcos T. O. Pimenta
2021 ◽  
Vol 46 (1) ◽  
pp. 295-308
Author(s):  
Marcelo F. Furtado ◽  
Luan D. de Oliveira ◽  
João Pablo P. da Silva

2011 ◽  
Vol 11 (1) ◽  
Author(s):  
Analia Silva

AbstractThe aim of this paper is to extend previous results regarding the multiplicity of solutions for quasilinear elliptic problems with critical growth to the variable exponent case. We prove, in the spirit of [4], the existence of at least three nontrivial solutions to the quasilinear elliptic equation −Δ


2015 ◽  
Vol 15 (3) ◽  
Author(s):  
Jianghao Hao ◽  
Yajing Zhang ◽  
Xinfu Chen

AbstractFollowing the constructive method of Wei and Yan [29], with new ingredients to take care of high-space dimensions, we prove the existence of infinitely many solutions of the nonlinear biharmonic equation


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