scholarly journals Three solutions to discrete anisotropic problems with two parameters

2014 ◽  
Vol 12 (10) ◽  
Author(s):  
Marek Galewski ◽  
Piotr Kowalski
Keyword(s):  
Critical Point ◽  
Point Theorem ◽  
Three Solutions ◽  
Critical Point Theorem ◽  
Multiplicity Of Solutions ◽  
Anisotropic Problems ◽  
Two Parameters

AbstractIn this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.

scholarly journals Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Massimiliano Ferrara ◽  
Giuseppe Caristi ◽  
Amjad Salari
Keyword(s):  
Critical Point ◽  
Periodic Solutions ◽  
Differential Inclusion ◽  
Point Theorem ◽  
Fourth Order ◽  
Differential Inclusions ◽  
Critical Point Theorem ◽  
Impulsive Differential Inclusions ◽  
Two Parameters ◽  
Infinitely Many Periodic Solutions

This paper discusses the existence of infinitely many periodic solutions for a semilinear fourth-order impulsive differential inclusion with a perturbed nonlinearity and two parameters. The approach is based on a critical point theorem for nonsmooth functionals.

scholarly journals Three Solutions for Inequalities Dirichlet Problem Driven byp(x)-Laplacian-Like

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zhou Qing-Mei ◽  
Ge Bin
Keyword(s):  
Dirichlet Problem ◽  
Critical Point ◽  
Point Theorem ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Three Solutions ◽  
Critical Point Theorem ◽  
Nonlinear Elliptic ◽  
Locally Lipschitz

A class of nonlinear elliptic problems driven byp(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.

Existence of three solutions for a three-point boundary value problem via a three-critical-point theorem

2015 ◽  
Vol 31 (2) ◽  
pp. 213-220
Author(s):  
XIAOJIE LIN ◽  
Keyword(s):  
Boundary Value Problem ◽  
Critical Point ◽  
Point Theorem ◽  
Reflexive Banach Space ◽  
Boundary Value ◽  
Main Tool ◽  
Multiplicity Result ◽  
Point Boundary ◽  
Three Solutions ◽  
Critical Point Theorem

In this paper, we study the existence of at least three solutions for a three-point boundary value problem. By constructing and showing an appropriate separable and reflexive Banach space, a new multiplicity result of the three-point boundary value problem is established. Our main tool is based upon variational method and three-critical-point theorem.

scholarly journals Existence and multiplicity of solutions for a p(x)-biharmonic problem with Neumann boundary conditions

2022 ◽  
Vol 40 ◽  
pp. 1-15
Author(s):  
Fouzia Moradi ◽  
Abdel Rachid El Amrouss ◽  
Mimoun Moussaoui
Keyword(s):  
Boundary Conditions ◽  
Critical Point ◽  
Point Theorem ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Critical Point Theorem ◽  
Multiplicity Of Solutions ◽  
Biharmonic Problem ◽  
Existence And Multiplicity

In this paper, we study the p(x)-biharmonique problem with Neumannboundary conditions. Using the three critical point Theorem, we establish the existence of at least threesolutions of this problem.

The Multiplicity of Solutions for a Class of Nonlinear Fractional Dirichlet Boundary Value Problems with p-Laplacian Type via Variational Approach

2019 ◽  
Vol 20 (3-4) ◽  
pp. 361-371
Author(s):  
Dongping Li ◽  
Fangqi Chen ◽  
Yukun An
Keyword(s):  
Variational Methods ◽  
Boundary Value Problems ◽  
Critical Point ◽  
Point Theorem ◽  
Weak Solutions ◽  
Variational Approach ◽  
Dirichlet Boundary ◽  
Coupled Systems ◽  
Critical Point Theorem ◽  
Two Parameters

AbstractIn this paper, by using variational methods and a critical point theorem due to Bonanno and Marano, the existence of at least three weak solutions is obtained for a class of p-Laplacian type nonlinear fractional coupled systems depending on two parameters. Two examples are given to illustrate the applications of our main results.

Sign in / Sign up

Export Citation Format

Share Document