There is hope if you are one of these authors. Every great writer, from Stephen King to George R. R. Martin and JK Rowling, started out exactly where you are at this moment; drowned out by the bigger writers. This will not last forever. Remember, Harry Potter was rejected dozens of times before Bloomsbury picked it up. Perseverance is key.
Authors nowadays have a lot more variety when it comes to choosing their publication route. Self-publishing has flourished over the last decade or so, especially with the success of E.L. James' 50 Shades of Grey series, which started out as Twilight fan-fiction. Done well and effectively, self-publishing can be a fantastic way for authors, especially emerging authors, to build a fanbase.
You as an author have something unique, something that makes you the writer you are. It is your voice, or your style. Nobody can take that away from you. People can help you shape and develop it, but it comes from within you. If you keep believing in your voice, people will hear it eventually.
A useful tool modern authors have is the Internet. With blog platforms like Wordpress and Blogspot readily available, it has never been easier for authors to show their work to the world. Social media, too, has proven time and again valuable for self-published authors in particular to let everyone know about their latest release, and is also vital for getting reader feedback and critique.
All of these tools are great, but they are no substitute for perseverance. Writing for just an hour a day is a great method of keeping your voice in pristine condition and will also help you improve on what you're struggling with. You don't have to push out thousands of words, just enough to feel as though you are progressing and learning. Dedicating time to your blog or author website is also vital as this is where the reader will learn about you. Your site is your shop window, so make sure it is up to date, vibrant, and showcases the best of what you have to offer.
It will take time to get heard, but with perseverance and dedication, all that hard work will pay off. So make sure you're constantly catching the attention of the world's ears.