There is no provision of filing an appeal against a judgment of the Supreme Court. However, if you feel that the order of the SC in a particular case is legally wrong, you have the option of filing a Review Petition before the Supreme Court on some limited grounds, which is generally listed before the same bench.
After the Review Petition is also unsuccessful, in certain situations, you can also file a Curative Petition before the Supreme Court. You can read more about the Curative Petition in this article: http://tilakmarg.com/notes/supreme-court-aor-examination-leading-cases-rupa-ashok-hurra-v-ashok-hurra-2002-4-scc-388/.
But, please be aware that success rate in a Review Petition and/or Curative Petition is very less. For more details, please see: http://tilakmarg.com/answers/success-rate-of-review-petition-and-curative-petition-in-supreme-court/.
Dr. Ashok Dhamija is a New Delhi based Supreme Court Advocate and author of law books. Read more about him by clicking here. List of his Forum Replies. List of his other articles. List of his Quora Answers. List of his YouTube Videos.