On optimal scaling algorithm for finding positive solution of elliptic equation

2007 ◽  
Vol 189 (2) ◽  
pp. 1255-1259
Author(s):  
G.A. Afrouzi ◽  
S. Mahdavi ◽  
Z. Naghizadeh
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Optimal Scaling

Nonlinear Elliptic Equations in Strip-Like Domains

2012 ◽  
Vol 12 (4) ◽  
Author(s):  
Jaeyoung Byeon ◽  
Kazunaga Tanaka
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Bounded Domain ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equation ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic

AbstractWe study the existence of a positive solution of a nonlinear elliptic equationwhere k ≥ 2 and D is a bounded domain domain in R

scholarly journals On the uniqueness of positive solution of an elliptic equation

2005 ◽  
Vol 18 (10) ◽  
pp. 1089-1093 ◽  
Author(s):  
M. Delgado ◽  
A. Suárez
Keyword(s):  
Elliptic Equation ◽  
Positive Solution

scholarly journals EXISTENCE OF POSITIVE EVANESCENT SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS

2008 ◽  
Vol 78 (1) ◽  
pp. 157-162 ◽  
Author(s):  
OCTAVIAN G. MUSTAFA
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Elliptic Equations ◽  
Exterior Domain ◽  
Quasilinear Elliptic Equations ◽  
Image Position ◽  
Quasilinear Elliptic

AbstractWe establish that the elliptic equation defined in an exterior domain of ℝn, n≥3, has a positive solution which decays to 0 as $\vert x\vert \rightarrow +\infty $ under quite general assumptions upon f and g.

scholarly journals On the existence of a positive solution for a semilinear elliptic equation in the upper half space

2002 ◽  
Vol 7 (1) ◽  
pp. 29-33
Author(s):  
Chen Shaowei ◽  
Li Yongqing
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Half Space ◽  
Nontrivial Solution ◽  
Semilinear Elliptic Equation ◽  
Semilinear Elliptic

We show the existence of a nontrivial solution to the semilinear elliptic equation−Δu+u=b(x)|u|p−2u, u>0,  u∈H01(ℝ+N)under some suitable conditions.

Positive solution for a class of -singular elliptic equation

2014 ◽  
Vol 16 ◽  
pp. 163-169 ◽  
Author(s):  
Francisco Julio S.A. Corrêa ◽  
Amanda S.S. Corrêa ◽  
Giovany M. Figueiredo
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Singular Elliptic Equation

Positive and nodal solutions for an elliptic equation with critical growth

2016 ◽  
Vol 18 (02) ◽  
pp. 1550021 ◽  
Author(s):  
Marcelo F. Furtado ◽  
Bruno N. Souza
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Critical Growth ◽  
Smooth Domain ◽  
Nodal Solution ◽  
Nodal Solutions ◽  
Bounded Smooth Domain ◽  
Continuous Potential ◽  
Bounded Smooth

We consider the problem [Formula: see text] where [Formula: see text] is a bounded smooth domain, [Formula: see text], [Formula: see text], [Formula: see text]. Under some suitable conditions on the continuous potential [Formula: see text] and on the parameter [Formula: see text], we obtain one nodal solution for [Formula: see text] and one positive solution for [Formula: see text].

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