Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory

2019 ◽  
Vol 22 (4) ◽  
pp. 945-967
Author(s):  
Nemat Nyamoradi ◽  
Stepan Tersian
Keyword(s):  
Differential Equations ◽  
Variational Method ◽  
Boundary Value Problem ◽  
Critical Point ◽  
Fractional Order ◽  
Critical Point Theory ◽  
Existence Of Solutions ◽  
Point Theory ◽  
Fractional Boundary Value Problem ◽  
New Criteria

Abstract In this paper, we study the existence of solutions for a class of p-Laplacian fractional boundary value problem. We give some new criteria for the existence of solutions of considered problem. Critical point theory and variational method are applied.

EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY

2012 ◽  
Vol 22 (04) ◽  
pp. 1250086 ◽  
Author(s):  
FENG JIAO ◽  
YONG ZHOU
Keyword(s):  
Boundary Value Problem ◽  
Critical Point ◽  
Critical Point Theory ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Point Theory ◽  
Fractional Boundary Value Problem ◽  
Fractional Differential ◽  
Left And Right ◽  
First Time

In this paper, by the critical point theory, the boundary value problem is discussed for a fractional differential equation containing the left and right fractional derivative operators, and various criteria on the existence of solutions are obtained. To the authors' knowledge, this is the first time, the existence of solutions to the fractional boundary value problem is dealt with by using critical point theory.

scholarly journals Weak Solutions for ap-Laplacian Antiperiodic Boundary Value Problem with Impulsive Effects

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Keyu Zhang ◽  
Jiafa Xu ◽  
Wei Dong
Keyword(s):  
Differential Equation ◽  
Variational Method ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Impulsive Differential Equation ◽  
Point Theory ◽  
Existence Of Weak Solutions

By virtue of variational method and critical point theory, we will investigate the existence of weak solutions for ap-Laplacian impulsive differential equation with antiperiodic boundary conditions.

scholarly journals Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Chunyan He ◽  
Yongzhi Liao ◽  
Yongkun Li
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Critical Point ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Impulsive Differential Equations ◽  
Point Theory ◽  
Infinitely Many Solutions ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

We investigate the existence and multiplicity of solutions to a boundary value problem for impulsive differential equations. By using critical point theory, some criteria are obtained to guarantee that the impulsive problem has at least one solution, at least two solutions, and infinitely many solutions. Some examples are given to illustrate the effectiveness of our results.

scholarly journals Twoweak solutions for a singular (p,q)-Laplacian problem

Filomat ◽  
2019 ◽  
Vol 33 (11) ◽  
pp. 3399-3407 ◽  
Author(s):  
F. Behboudi ◽  
A. Razani
Keyword(s):  
Variational Method ◽  
Boundary Value Problem ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Point Theory ◽  
Laplacian Operator ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Smooth Bounded Domain

Here, a singular boundary value problem involving the (p,q)-Laplacian operator in a smooth bounded domain in RN is considered. Using the variational method and critical point theory, the existence of two weak solutions is proved.

Multiplicity of Nontrivial Solutions for Boundary Value Problem for Impulsive Fractional Differential Inclusions Via Nonsmooth Critical Point Theory

2015 ◽  
Vol 18 (6) ◽  
Author(s):  
Nemat Nyamoradi
Keyword(s):  
Critical Point ◽  
Critical Point Theory ◽  
Existence Of Solutions ◽  
Point Theory ◽  
Fractional Differential Inclusions ◽  
Nontrivial Solutions ◽  
Nonsmooth Critical Point Theory ◽  
Nonsmooth Critical Point ◽  
Fractional Differential ◽  
New Criteria

AbstractIn this paper we study the existence of solutions for a fractional differential inclusion with impulsive effects. By using the nonsmooth critical point theory, we give some new criteria to guarantee that the hemivariational inequality problems produce at least two nontrivial solutions.

Sign in / Sign up

Export Citation Format

Share Document