scholarly journals Multiplicity of Solutions for Neumann Problems for Semilinear Elliptic Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Yu-Cheng An ◽  
Hong-Min Suo
Keyword(s):  
Critical Point ◽  
Critical Point Theory ◽  
Elliptic Equations ◽  
Point Theory ◽  
Semilinear Elliptic Equations ◽  
Multiplicity Of Solutions ◽  
Neumann Problems ◽  
Minimax Methods ◽  
Semilinear Elliptic ◽  
Near Resonance

Using the minimax methods in critical point theory, we study the multiplicity of solutions for a class of Neumann problems in the case near resonance. The results improve and generalize some of the corresponding existing results.

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.

scholarly journals Existence and multiplicity of solutions for a class of superlinear elliptic systems

2018 ◽  
Vol 7 (2) ◽  
pp. 183-196 ◽  
Author(s):  
Chun Li ◽  
Ravi P. Agarwal ◽  
Dong-Lun Wu
Keyword(s):  
Critical Point ◽  
Growth Condition ◽  
Critical Point Theory ◽  
Elliptic Systems ◽  
Point Theory ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Minimax Methods

AbstractIn this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.

Infinitely many periodic solutions for ordinary p-Laplacian systems

2015 ◽  
Vol 4 (4) ◽  
pp. 251-261 ◽  
Author(s):  
Chun Li ◽  
Ravi P. Agarwal ◽  
Chun-Lei Tang
Keyword(s):  
Critical Point ◽  
Periodic Solutions ◽  
Critical Point Theory ◽  
Existence Theorems ◽  
Point Theory ◽  
Minimax Methods ◽  
Infinitely Many Periodic Solutions

AbstractSome existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.

scholarly journals Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Xiaohong Hu ◽  
Dabin Wang ◽  
Changyou Wang
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Critical Point ◽  
Periodic Solutions ◽  
Critical Point Theory ◽  
Point Theory ◽  
Second Order ◽  
Minimax Methods ◽  
Existence Of Periodic Solutions

By using minimax methods in critical point theory, we obtain the existence of periodic solutions for second-order ordinary differential equations with linear nonlinearity.

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