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The mandate of the Supreme Court "The judicial power shall extend to all cases, in law and equity, arising under this Constitution" is stated in Article III, section 2 of the Constitution. Decisions and opinions rendered by the Supreme Court can be found in:
FindLaw: In addition to opinions of the Supreme Court from 1893 to the present, it includes biographies of the justices, Supreme Court history, recent court news and more.
HeinOnline is the world’s largest fully searchable, image-based government document and legal research database. It contains comprehensive coverage from inception of both U.S. statutory materials and more than 2,300 scholarly journals, all of the world’s constitutions, all U.S. treaties, collections of classic treatises and presidential documents, and access to the full text of state and federal case law powered by Fastcase.”
See main page for complete listing of available collections.