Solutions to discrete multiparameter periodic boundary value problems involving the p-laplacian via critical point theory

2014 ◽  
Vol 34 (4) ◽  
pp. 1225-1236 ◽  
Author(s):  
Chenghua GAO
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Point Theory ◽  
Periodic Boundary Value Problems

Existence of the Solutions for a Class of Nonlinear Difference Systems Boundary Value Problem

2013 ◽  
Vol 281 ◽  
pp. 312-318
Author(s):  
Fang Su ◽  
Xue Wen Qin
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Difference Systems

In this paper, by using critical point theory, we obtain a new result on the existence of the solutions for a class of difference systems boundary value problems. Results obtained extend or improve existing ones.

TWO POSITIVE SOLUTIONS OF SOME SINGULAR BOUNDARY VALUE PROBLEMS

2010 ◽  
Vol 08 (03) ◽  
pp. 305-314 ◽  
Author(s):  
RADU PRECUP
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Positive Solutions ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Singular Boundary ◽  
Singular Boundary Value Problems

The existence of two positive solutions for a class of singular boundary value problems is established by means of a combination of the Leray–Schauder principle with techniques from critical point theory.

Existence of Solutions to Boundary Value Problems for a Class of Nonlinear Difference Systems

2018 ◽  
Vol 19 (5) ◽  
pp. 531-537
Author(s):  
Tao Zhou ◽  
Xia Liu ◽  
Haiping Shi
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Point Theory ◽  
Mountain Pass Lemma ◽  
Variational Technique ◽  
Difference Systems ◽  
Existence Criteria

AbstractThis paper is devoted to investigate a question of the existence of solutions to boundary value problems for a class of nonlinear difference systems. The proof is based on the notable mountain pass lemma in combination with variational technique. By using the critical point theory, some new existence criteria are obtained.

scholarly journals Some remarks on nonlinear discrete boundary value problems

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
Marek Galewski ◽  
Joanna Smejda
Keyword(s):  
Nonlinear System ◽  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Monotonicity Results

AbstractUsing critical point theory and some monotonicity results we consider the existence and multiplicity of solutions to nonlinear discrete boundary value problems represented as a nonlinear system

scholarly journals Existence of Multiple Solutions for a Class ofn-Dimensional Discrete Boundary Value Problems

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Weiming Tan ◽  
Zhan Zhou
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Multiple Solutions ◽  
Boundary Value ◽  
Point Theory

By using critical point theory, we obtain some new results on the existence of multiple solutions for a class ofn-dimensional discrete boundary value problems. Results obtained extend or improve existing ones.

Existence of nontrivial solutions for boundary value problems of second-order discrete systems

2011 ◽  
Vol 61 (5) ◽  
Author(s):  
Xingyong Zhang ◽  
Xianhua Tang
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Discrete Systems ◽  
Point Theory ◽  
Second Order ◽  
Nontrivial Solutions ◽  
Solvability Conditions

AbstractBy making use of critical-point theory, some new solvability conditions for boundary value problems of second-order discrete systems with a parameter are obtained.

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