scholarly journals A Variational Method for Second Order Shape Derivatives

2016 ◽  
Vol 54 (2) ◽  
pp. 1056-1084 ◽  
Author(s):  
Guy Bouchitté ◽  
Ilaria Fragalà ◽  
Ilaria Lucardesi
Keyword(s):  
Variational Method ◽  
Second Order ◽  
Shape Derivatives

Impulsive differential inclusions via variational method

2017 ◽  
Vol 24 (3) ◽  
pp. 313-323 ◽  
Author(s):  
Mouffak Benchohra ◽  
Juan J. Nieto ◽  
Abdelghani Ouahab
Keyword(s):  
Variational Method ◽  
Critical Point ◽  
Differential Inclusion ◽  
Critical Point Theory ◽  
Differential Inclusions ◽  
Point Theory ◽  
Existence Results ◽  
Second Order ◽  
Impulsive Differential Inclusions

AbstractIn this paper, we establish several results about the existence of second-order impulsive differential inclusion with periodic conditions. By using critical point theory, several new existence results are obtained. We also provide an example in order to illustrate the main abstract results of this paper.

FIRST ORDER, 2D, EINSTEIN GRAVITIES

1996 ◽  
Vol 05 (06) ◽  
pp. 579-582
Author(s):  
S. DESER
Keyword(s):  
Variational Method ◽  
Second Order ◽  
First Order ◽  
Weyl Invariance

The Palatini variational method breaks down in 2D: First order forms of the Einstein action do not fix the affinity completely, as they possess an additional, Weyl, invariance absent in the second order versions.

scholarly journals Variational Approach to Impulsive Differential Equations with Singular Nonlinearities

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Naima Daoudi-Merzagui ◽  
Abdelkader Boucherif
Keyword(s):  
Differential Equations ◽  
Variational Method ◽  
Periodic Solutions ◽  
Variational Approach ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Second Order ◽  
Second Order Differential Equations ◽  
Singular Nonlinearities ◽  
Existence Of Periodic Solutions

We discuss the existence of periodic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions that enable us to obtain many distinct periodic solutions are provided. Our approach is based on a variational method.

scholarly journals Estimates of first and second order shape derivatives in nonsmooth multidimensional domains and applications

2016 ◽  
Vol 270 (7) ◽  
pp. 2616-2652 ◽  
Author(s):  
Jimmy Lamboley ◽  
Arian Novruzi ◽  
Michel Pierre
Keyword(s):  
Second Order ◽  
Shape Derivatives

scholarly journals Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Qing-Qing Hu ◽  
Baoqiang Yan
Keyword(s):  
Boundary Condition ◽  
Variational Method ◽  
Multiple Solutions ◽  
Order Equation ◽  
Second Order ◽  
Integral Boundary Condition ◽  
Stieltjes Integral ◽  
Order Problem ◽  
Integral Boundary ◽  
Critical Point Theorem

In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we obtain the existence of multiple solutions for our problem. Finally, in order to illustrate the effectiveness of our problem better, the example is listed.

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