Existence and multiplicity of solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities

2019 ◽  
Vol 21 (1) ◽  
Author(s):  
Somayeh Rastegarzadeh ◽  
Nemat Nyamoradi ◽  
Vincenzo Ambrosio
Keyword(s):  
Elliptic Equations ◽  
Multiplicity Of Solutions ◽  
Critical Nonlinearities ◽  
Existence And Multiplicity

scholarly journals Existence and Multiplicity of Solutions for a Biharmonic Equation with p(x)-Kirchhoff Type

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Qi Zhang ◽  
Qing Miao
Keyword(s):  
Sobolev Space ◽  
Critical Point ◽  
Critical Point Theory ◽  
Elliptic Equations ◽  
Biharmonic Equation ◽  
Boundary Value ◽  
Point Theory ◽  
Multiplicity Of Solutions ◽  
Kirchhoff Type ◽  
Existence And Multiplicity

Based on the basic theory and critical point theory of variable exponential Lebesgue Sobolev space, this paper investigates the existence and multiplicity of solutions for a class of nonlocal elliptic equations with Navier boundary value conditions when (AR) condition does not hold and improves or generalizes the original conclusions.

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