Tell me more ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
up vote 0 down vote favorite

If $\Omega \subset R^n$ and function $f(x,p)$ is strictly convex in $p$ . Is the solution to the functional $$F(u)= \int_{\Omega}f(x,Du(x))dx$$

unique in some class $C$ , and why should it be convex ?

I tried finding the hessian of the function, but that doesn't seem to help ? I need some tips. Thanks

share|improve this question
What is the $\Omega$ used for? – Henning Makholm Nov 14 '12 at 20:58
@HenningMakholm : Sir , i have edited . – Theorem Nov 14 '12 at 21:03
I don't know what it means for a function to satisfy a functional. – user53153 Dec 20 '12 at 2:54

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.