Existence and multiplicity of solutions for a class of elliptic problem with critical growth

2017 ◽  
Vol 187 (2) ◽  
pp. 195-215 ◽  
Author(s):  
Claudianor O. Alves ◽  
Luciano M. Barros
Keyword(s):  
Elliptic Problem ◽  
Critical Growth ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

scholarly journals Existence and multiplicity of solutions for a Kirchhoff system with critical growth

2021 ◽  
Vol 46 (1) ◽  
pp. 295-308
Author(s):  
Marcelo F. Furtado ◽  
Luan D. de Oliveira ◽  
João Pablo P. da Silva
Keyword(s):  
Critical Growth ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

scholarly journals Multiple Solutions for a Nonlocal Elliptic Problem Involving p x , q x -Biharmonic Operator

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Qi Zhang ◽  
Qing Miao
Keyword(s):  
Variational Principle ◽  
Elliptic Problem ◽  
Multiple Solutions ◽  
Sufficient Conditions ◽  
Biharmonic Operator ◽  
Type Problem ◽  
Navier Boundary Conditions ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Kirchhoff Type Problem

In this paper, using the variational principle, the existence and multiplicity of solutions for p x , q x -Kirchhoff type problem with Navier boundary conditions are proved. At the same time, the sufficient conditions for the multiplicity of solutions are obtained.

scholarly journals Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth

2019 ◽  
Vol 18 (1) ◽  
pp. 83-106
Author(s):  
Marcos L. M. Carvalho ◽  
◽  
José Valdo A. Goncalves ◽  
Claudiney Goulart ◽  
Olímpio H. Miyagaki ◽  
...  
Keyword(s):  
Elliptic Problem ◽  
Critical Growth ◽  
Multiplicity Of Solutions ◽  
Quasilinear Elliptic Problem ◽  
Quasilinear Elliptic

scholarly journals Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yongzhen Yun ◽  
Tianqing An ◽  
Guoju Ye
Keyword(s):  
Variational Method ◽  
Existence Results ◽  
Critical Growth ◽  
Concentration Compactness ◽  
Critical Nonlinearity ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

AbstractIn this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence results for the above equation, which improve the related results on this topic.

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