scholarly journals ON A NEW MULTIPLE CRITICAL POINT THEOREM AND SOME APPLICATIONS TO ANISOTROPIC PROBLEMS

2015 ◽  
Vol 19 (5) ◽  
pp. 1495-1508 ◽  
Author(s):  
Marek Galewski
Keyword(s):  
Critical Point ◽  
Point Theorem ◽  
Critical Point Theorem ◽  
Anisotropic Problems

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.

scholarly journals EXISTENCE OF 3-WEAK SOLUTIONS FOR A NEW CLASS OF AN OVERDETERMINED SYSTEM OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040036 ◽  
Author(s):  
SALAH BOULAARAS ◽  
RAFIK GUEFAIFIA ◽  
ASMA ALHARBI ◽  
BAHRI CHERIF
Keyword(s):  
Differential Equations ◽  
Variational Methods ◽  
Critical Point ◽  
Differential System ◽  
Point Theorem ◽  
Weak Solutions ◽  
Overdetermined System ◽  
Critical Point Theorem ◽  
New Class

The paper deals with the existence of three different weak solutions of [Formula: see text] -Laplacian fractional for an overdetermined nonlinear fractional partial Fredholm–Volterra integro-differential system by using variational methods combined with a critical point theorem due to Bonanno and Marano.

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