scholarly journals Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6

2022 ◽  
Vol 38 (1) ◽  
pp. 1-25
Author(s):  
global sci
Keyword(s):  
Nodal Solutions ◽  
Nirenberg Problem

LEAST ENERGY NODAL SOLUTIONS OF THE BREZIS–NIRENBERG PROBLEM IN DIMENSION N = 5

2009 ◽  
Vol 11 (01) ◽  
pp. 59-69 ◽  
Author(s):  
PAOLO ROSELLI ◽  
MICHEL WILLEM
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
First Eigenvalue ◽  
Nodal Solutions ◽  
The First Eigenvalue ◽  
Homogeneous Dirichlet Boundary Conditions ◽  
Sign Changing Solutions ◽  
Nirenberg Problem ◽  
Least Energy

We prove the existence of (a pair of) least energy sign changing solutions of [Formula: see text] when Ω is a bounded domain in ℝN, N = 5 and λ is slightly smaller than λ1, the first eigenvalue of -Δ with homogeneous Dirichlet boundary conditions on Ω.

scholarly journals Existence results for the fractional Nirenberg problem

2016 ◽  
Vol 270 (11) ◽  
pp. 4043-4086 ◽  
Author(s):  
Yan-Hong Chen ◽  
Chungen Liu ◽  
Youquan Zheng
Keyword(s):  
Existence Results ◽  
Nirenberg Problem

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 Peak solutions for the fractional Nirenberg problem

2015 ◽  
Vol 122 ◽  
pp. 100-124 ◽  
Author(s):  
Yan-Hong Chen ◽  
Youquan Zheng
Keyword(s):  
Nirenberg Problem

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
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