id,summary,reporter,owner,description,type,status,priority,milestone,component,resolution,keywords,cc,merged,author,reviewer,upstream,work_issues,branch,commit,dependencies,stopgaps
8862,solve misses some solutions in a certain nonlinear system,casamayou,burcin,"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]]
}}}",defect,new,major,sage-6.4,calculus,,solve,kcrisman robert.marik jason,,,,Reported upstream. No feedback yet.,,,,,#12730