scholarly journals On nodal solutions of the Yamabe equation on products

2009 ◽  
Vol 59 (10) ◽  
pp. 1395-1401 ◽  
Author(s):  
Jimmy Petean
Keyword(s):  
Nodal Solutions ◽  
Yamabe Equation

scholarly journals Low energy nodal solutions to the Yamabe equation

2020 ◽  
Vol 268 (11) ◽  
pp. 6576-6597 ◽  
Author(s):  
Juan Carlos Fernández ◽  
Jimmy Petean
Keyword(s):  
Low Energy ◽  
Nodal Solutions ◽  
Yamabe Equation

scholarly journals Phase Separation, Optimal Partitions, and Nodal Solutions to the Yamabe Equation on the Sphere

2020 ◽  
Author(s):  
Mónica Clapp ◽  
Alberto Saldaña ◽  
Andrzej Szulkin
Keyword(s):  
Optimal Partition ◽  
Partition Problem ◽  
Round Sphere ◽  
Nodal Solutions ◽  
Nodal Domains ◽  
Optimal Partitions ◽  
Yamabe Equation ◽  
Weakly Coupled ◽  
Least Energy Solutions ◽  
Least Energy

Abstract We study an optimal $M$-partition problem for the Yamabe equation on the round sphere, in the presence of some particular symmetries. We show that there is a correspondence between solutions to this problem and least energy sign-changing symmetric solutions to the Yamabe equation on the sphere with precisely $M$ nodal domains. The existence of an optimal partition is established through the study of the limit profiles of least energy solutions to a weakly coupled competitive elliptic system on the sphere.

Finite Element Analysis of a Polymer- Polymer Sliding Contact for Schallamach Wave and Wear

2007 ◽  
Vol 348-349 ◽  
pp. 633-636 ◽  
Author(s):  
Muhammad Azeem Ashraf ◽  
Bijan Sobhi-Najafabadi ◽  
Özdemir Göl ◽  
D. Sugumar
Keyword(s):  
Finite Element ◽  
Polymer Surface ◽  
Sliding Contact ◽  
Quasi Steady State ◽  
Nodal Solutions ◽  
Element Analysis ◽  
Steady State Analysis ◽  
Initiation And Propagation ◽  
Wear Law ◽  
Nodal Level

Sliding polymer-polymer surface contacts, due to their inherent elastic properties, exhibit detachment waves also termed as Schallamach waves. Such waves effect the initiation and propagation of wear along the sliding contacts. This paper presents quasi steady-state analysis of such a sliding contact using finite element. The contact is modeled and nodal solutions for pressure are obtained for small sliding steps. Analysis of orthogonal pressure components at the contact nodes reveals the formation of Schallamach wave phenomenon. Further, appropriate wear law is used for calculation of wear at nodal level.

scholarly journals Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems

2015 ◽  
Vol 104 (6) ◽  
pp. 1075-1107 ◽  
Author(s):  
Denis Bonheure ◽  
Ederson Moreira dos Santos ◽  
Miguel Ramos ◽  
Hugo Tavares
Keyword(s):  
Elliptic Systems ◽  
Nodal Solutions ◽  
Least Energy
Sign in / Sign up

Export Citation Format

Share Document