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 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 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 Multiplicity of solutions for the discrete boundary value problem involving the p-Laplacian

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Abdelrachid El Amrouss ◽  
Omar Hammouti
Keyword(s):  
Boundary Value Problem ◽  
Variational Methods ◽  
Critical Point ◽  
Critical Point Theory ◽  
Design Methodology ◽  
Boundary Value ◽  
Point Theory ◽  
Content Type ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

PurposeThe purpose of this paper is the study of existence and multiplicity of solutions for a nonlinear discrete boundary value problems involving the p-laplacian.Design/methodology/approachThe approach is based on variational methods and critical point theory.FindingsTheorem 1.1. Theorem 1.2. Theorem 1.3. Theorem 1.4.Originality/valueThe paper is original and the authors think the results are new.

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.

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 Multiplicity of Solutions for a Modified Schrödinger-Kirchhoff-Type Equation in  RN

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Xiumei He
Keyword(s):  
Critical Point ◽  
Critical Point Theory ◽  
Type Equation ◽  
Point Theory ◽  
Dual Method ◽  
Infinitely Many Solutions ◽  
Nonsmooth Critical Point Theory ◽  
Multiplicity Of Solutions ◽  
Kirchhoff Type ◽  
Nonsmooth Critical Point

We study the existence of infinitely many solutions for a class of modified Schrödinger-Kirchhoff-type equations by the dual method and the nonsmooth critical point theory.

Existence of infinitely many solutions for fractional p-Laplacian Schrödinger–Kirchhof-Type equations with general potentials

2021 ◽  
pp. 2250095
Author(s):  
Ghania Benhamida ◽  
Toufik Moussaoui
Keyword(s):  
Critical Point ◽  
Critical Point Theory ◽  
Point Theory ◽  
Infinitely Many Solutions ◽  
Kirchhoff Type ◽  
Laplacian Equations

In this paper, we use the genus properties in critical point theory to prove the existence of infinitely many solutions for fractional [Formula: see text]-Laplacian equations of Schrödinger-Kirchhoff type.

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