Ann Madsen and Shon Hopkin answer this question in their Opening Isaiah—a Harmony:
Reading List for Studying Isaiah
There are thousands of books and articles exploring the writings of Isaiah. This list is simply intended to provide a starting point for further reading for those who are interested. Many excellent resources by Latter-day Saints and others are not included here.
Commentaries on Isaiah by Latter-day Saint Authors:
Parry, Donald W., Tina M. Peterson, and Jay A. Parry. Understanding Isaiah. Salt Lake City: Deseret Book, 1998.
This is one of the most up-to-date and complete commentaries on the writings of Isaiah from a Latter-day Saint perspective. It is our most highly recommended LDS commentary.
Ludlow, Victor L. Isaiah: Prophet, Seer, and Poet. Salt Lake City: Deseret Book, 1982.
This is another excellent LDS commentary on Isaiah, but it does not benefit from the most recent scholarship on Isaiah, and some of its views may be out of date.
Studies on Isaiah in the Book of Mormon:
Spencer, Joseph. An Other Testament: On Typology. Salem, OR: Salt Press, 2012. Although this book covers a variety of Book of Mormon topics, its primary analysis is about how Nephi, Abinadi, and Jesus use the words of Isaiah in the Book of Mormon.
Ludlow, Victor L. Unlocking Isaiah in the Book of Mormon. Salt Lake City: Deseret Book, 2003. Unlike the book below, which is an edited volume by a variety of scholars, this book is written entirely by Victor Ludlow. It individually approaches each section of Isaiah found in the Book of Mormon.
Parry, Donald W., and John W. Welch, eds. Isaiah in the Book of Mormon. Provo, UT: Foundation for Ancient Research and Mormon Studies (FARMS), 1998. This book has a variety of contributors, each addressing different areas of the Book of Mormon that contain the writings of Isaiah.