How can I configure my asp.net mvc to authenticate windows users against a trusted domain that reside on a separate server?

I have the following:-

1. Asp.net mvc web application published on IIS , under DomainA.
2. The Asp.net mvc web application uses windows authentication to authenticate users.
3. Active Directory on DomainB
4. DomainA & DomainB trust each other, and are inside our intranet network.

Currently I am having the following problem:-

1. Users defined inside the AD on domainB cannot access the asp.net mvc web application, using their credentials. They can reach the web site, and they can enter their username and password on the browsers pop-up window. but authentication will fail
2. Only users defined inside domainA can access the application.

So my question is as follow:-

1. How I can force my asp.net mvc web application, to authenticate users from DomainB only, OR on DomainA & B.

Thanks