If you are planning to visit Denmark as a student there is a requirement, before you consider enrolling for any courses, for you to have a visa. You will, effectively, have to apply for a temporary residence permit in order to study in Denmark.
There are basically three educational programs that you may wish to consider:
Higher Educational Programs
Basic Youth Study Program
Folk High School
There are quite stringent conditions that have to be met before a student's participation in any Danish educational program must have been arranged by a Ministry or Institution of Higher Learning. Alternatively the educational program must be part of a post-secondary program which they have already commenced in their country of origin. In other words, they may be granted a residence permit either in order to complete an entire educational program or in order to follow part of a program as a guest student.
Why study in Denmark?
Making the choice to study in Denmark is easy. There are plenty of opportunities for international students and researchers. Danish higher education institutions are internationally oriented and offer a large selection of programs and individual courses in English to international students.
Denmark Education
Danish higher education is all about you: your ideas, your aspirations, your opportunities. It's about expressing yourself, working with others and applying new knowledge to solve real problems. Study in Denmark - to fulfill your potential and prepare for a world of opportunities.
Excellence in Education
Whatever subject you choose to study in Denmark, you can expect outstanding quality. Danish higher education combines traditional academic excellence with teaching that will make you think, debate, collaborate and experiment your way to greater knowledge.
You will also have the opportunity to gain valuable practical experience. Universities in Denmark & other education institutions cooperate with business to ensure an up-to-date learning environment where you can learn from industry experts and undertake internships in globally recognized organizations.
Furthermore, Danish higher education institutions, science parks and public research institutes all collaborate in leading-edge research with national and international partners. These innovative public-private partnerships provide a stimulating research environment with global job opportunities.
Scholarships and grants
Most Danish institutions have bilateral agreements with foreign institutions of higher education. These agreements are usually designed for mutual exchange of students, researchers and teachers. National and European programmes offer scholarships for international students wishing to study in Denmark through an institutional agreement, as guest students or as a part of an international double or joint degree.
More detail:
http://www.settleindenmark.com/