scholarly journals A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations

2005 ◽  
Vol 225 (2) ◽  
pp. 352-370 ◽  
Author(s):  
Ryuji Kajikiya
Keyword(s):  
Critical Point ◽  
Point Theorem ◽  
Elliptic Equations ◽  
Mountain Pass ◽  
Mountain Pass Lemma ◽  
Critical Point Theorem ◽  
Symmetric Mountain Pass Lemma

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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