scholarly journals Justification of asymptotic decomposition of a solution for the problem of the motion of weak solutions of polymers near a critical point

2020 ◽  
Vol 17 ◽  
pp. 313-317 ◽  
Author(s):  
A. G. Petrova
Keyword(s):  
Critical Point ◽  
Weak Solutions ◽  
Asymptotic Decomposition

scholarly journals Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 475 ◽  
Author(s):  
Fares Kamache ◽  
Rafik Guefaifia ◽  
Salah Boulaaras ◽  
Asma Alharbi
Keyword(s):  
Variational Methods ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Value Systems ◽  
Existence Of Weak Solutions ◽  
New Class ◽  
Two Parameters

In this paper, at least three weak solutions were obtained for a new class of dual non-linear dual-Laplace systems according to two parameters by using variational methods combined with a critical point theory due to Bonano and Marano. Two examples are given to illustrate our main results applications.

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.

scholarly journals Weak Solutions for ap-Laplacian Antiperiodic Boundary Value Problem with Impulsive Effects

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Keyu Zhang ◽  
Jiafa Xu ◽  
Wei Dong
Keyword(s):  
Differential Equation ◽  
Variational Method ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Impulsive Differential Equation ◽  
Point Theory ◽  
Existence Of Weak Solutions

By virtue of variational method and critical point theory, we will investigate the existence of weak solutions for ap-Laplacian impulsive differential equation with antiperiodic boundary conditions.

scholarly journals Existence Results for A Perturbed Fourth-Order Equation

2017 ◽  
Vol 23 (2) ◽  
pp. 55-65
Author(s):  
Mohammad Reza Heidari Tavani
Keyword(s):  
Variational Methods ◽  
Critical Point ◽  
Fourth Order ◽  
Weak Solutions ◽  
Nonlinear Term ◽  
Existence Results ◽  
Order Equation ◽  
Fourth Order Equation

‎The existence of at least three weak solutions for a class of perturbed‎‎fourth-order problems with a perturbed nonlinear term is investigated‎. ‎Our‎‎approach is based on variational methods and critical point theory‎.

Infinitely many solutions for non-homogeneous Neumann problems in Orlicz-Sobolev spaces

2018 ◽  
Vol 68 (4) ◽  
pp. 867-880
Author(s):  
Saeid Shokooh ◽  
Ghasem A. Afrouzi ◽  
John R. Graef
Keyword(s):  
Variational Methods ◽  
Critical Point ◽  
Neumann Problem ◽  
Sobolev Spaces ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Point Theory ◽  
Infinitely Many Solutions ◽  
Neumann Problems

Abstract By using variational methods and critical point theory in an appropriate Orlicz-Sobolev setting, the authors establish the existence of infinitely many non-negative weak solutions to a non-homogeneous Neumann problem. They also provide some particular cases and an example to illustrate the main results in this paper.

Three Weak Solutions for Nonlocal Fractional Equations

2014 ◽  
Vol 14 (3) ◽  
Author(s):  
Giovanni Molica Bisci ◽  
Bruno Antonio Pansera
Keyword(s):  
Critical Point ◽  
Sobolev Spaces ◽  
Weak Solutions ◽  
Variational Formulation ◽  
Fractional Laplacian ◽  
Dirichlet Boundary ◽  
Fractional Sobolev Spaces ◽  
Fractional Equations ◽  
Critical Point Result

AbstractThis article concerns a class of nonlocal fractional Laplacian problems depending of three real parameters. More precisely, by using an appropriate analytical context on fractional Sobolev spaces due to Servadei and Valdinoci (in order to correctly encode the Dirichlet boundary datum in the variational formulation of our problem) we establish the existence of three weak solutions for fractional equations via a recent abstract critical point result for differentiable and parametric functionals recently proved by Ricceri.

scholarly journals Infinitely many weak solutions for some elliptic problems in RN

2016 ◽  
Vol 100 (114) ◽  
pp. 271-278
Author(s):  
Mehdi Khodabakhshi ◽  
Abdolmohammad Aminpour ◽  
Mohamad Tavani
Keyword(s):  
Variational Method ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Elliptic Problems ◽  
Point Theory

We investigate the existence of infinitely many weak solutions to some elliptic problems involving the p-Laplacian in RN by using variational method and critical point theory.

scholarly journals TWO NONTRIVIAL WEAK SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPIŃSKI GASKET

2011 ◽  
Vol 85 (3) ◽  
pp. 395-414 ◽  
Author(s):  
DENISA STANCU-DUMITRU
Keyword(s):  
Dirichlet Problem ◽  
Variational Principle ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Sierpinski Gasket ◽  
Point Theory ◽  
Sierpiński Gasket ◽  
Variational Techniques ◽  
Weak Laplacian

AbstractWe study a Dirichlet problem involving the weak Laplacian on the Sierpiński gasket, and we prove the existence of at least two distinct nontrivial weak solutions using Ekeland’s Variational Principle and standard tools in critical point theory combined with corresponding variational techniques.

scholarly journals Multiple Solutions for Elliptic px,qx-Kirchhoff-Type Potential Systems in Unbounded Domains

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Nabil Chems Eddine ◽  
Abderrahmane El Hachimi
Keyword(s):  
Variational Method ◽  
Critical Point ◽  
Weak Solutions ◽  
Multiple Solutions ◽  
Unbounded Domains ◽  
Critical Point Theorem ◽  
Kirchhoff Type ◽  
Double Eigenvalue ◽  
Potential System ◽  
Type Potential

In this paper, we establish the existence of at least three weak solutions for a parametric double eigenvalue quasi-linear elliptic px,qx-Kirchhoff-type potential system. Our approach is based on a variational method, and a three critical point theorem is obtained by Bonano and Marano.

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