#8862: failing resolution of a nonlinear system by solve
-----------------------------------+----------------------------------------
   Reporter:  casamayou            |       Owner:  burcin    
       Type:  enhancement          |      Status:  new       
   Priority:  minor                |   Milestone:  sage-4.4.2
  Component:  calculus             |    Keywords:  solve     
     Author:  Alexandre Casamayou  |    Upstream:  N/A       
   Reviewer:                       |      Merged:            
Work_issues:                       |  
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 We search the critical points of the function x|-> (x**2 + y**2)^x

 This function has four critical points : ±(0,1) and ±(1/e,0)

 However the function solve can not find any of this.

 More, solve returns (0,0) which is not a critical point since f is not
 differentiable at (0,0) !

 {{{
   sage: var('x y')
   sage: f(x,y) = (x^2 + y^2)^x
   sage: solve([diff(f(x,y), x), diff(f(x,y), y)], x, y)
   [[x == 0, y == 0]]
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8862>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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