22 For as the new heavens and the new earth, which I will make, shall remain before me, saith the Lord, so shall your seed and your name remain.
The Holy Bible, Revelation 21:1-3
1 And I saw a new heaven and a new earth: for the first heaven and the first earth were passed away; and there was no more sea.
2 And I John saw the holy city, new Jerusalem, coming down from God out of heaven, prepared as a bride adorned for her husband.
3 And I heard a great voice out of heaven saying, Behold, the tabernacle of God is with men, and he will dwell with them, and they shall be his people, and God himself shall be with them, and be their God.
The Book of Mormon, Alma 9:2-3
2 Who art thou? Suppose ye that we shall believe the testimony of one man, although he should preach unto us that the earth should pass away?
3 Now they understood not the words which they spake; for they knew not that the earth should pass away.
The Book of Mormon, Ether 13:8-9
8 Wherefore, the remnant of the house of Joseph shall be built upon this land; and it shall be a land of their inheritance; and they shall build up a holy city unto the Lord, like unto the Jerusalem of old; and they shall no more be confounded, until the end come when the earth shall pass away.
9 And there shall be a new heaven and a new earth; and they shall be like unto the old save the old have passed away, and all things have become new.
The Doctrine and Covenants, Section 29:22-25
22 And again, verily, verily, I say unto you that when the thousand years are ended, and men again begin to deny their God, then will I spare the earth but for a little season;
23 And the end shall come, and the heaven and the earth shall be consumed and pass away, and there shall be a new heaven and a new earth.
24 For all old things shall pass away, and all things shall become new, even the heaven and the earth, and all the fulness thereof, both men and beasts, the fowls of the air, and the fishes of the sea;
25 And not one hair, neither mote, shall be lost, for it is the workmanship of mine hand.
Journal of Discourses, Orson Pratt 1:41
The earth will not be annihilated, any more than our bodies are after being burned. Every chemist knows that the weight of a thing is not diminished by burning it. The present order of things must be done away, and, as the apostle John says, all things must become new; and he tells us the time when: it is to be after the millennium. The passing away is equivalent to death, and all things being made new is equivalent to the resurrection. Is the new earth to be made precisely like this earth? No; but as this earth was, before sin entered into it; and we shall inherit it. This is our heaven, and we have the title to it by promise, and it will be redeemed through the faith and prayers of the Saints, and we shall get a title from God to a portion of it as our inheritance.
Journal of Discourses, Orson Pratt 1:47
Righteousness will abide upon its face, during a thousand years, and the Savior will bless it with his personal presence: after which the end soon comes, and the earth itself will die, and its elements be dissolved through the agency of a fire. This death, or dissolution of the earth is a penalty of the original sin. Infants and righteous men die, not as a penalty of their own sins, but because Adam sinned; so the earth dies, or undergoes a similar change, not because of the transgressions of the children of Adam, but because of the original transgression. But all mankind are made alive from the first death through the resurrection, so the earth will again be renewed, its elements will again be collected, they will be recombined and reorganized as when it first issued from the womb of chaos. As the bodies of the righteous are made immortal, eternal, unchangeable, and glorious, so the earth itself will be so constructed as to be capable of everlasting endurance. Immortality will be indelibly stamped upon every department of this creation. It will be crowned with the presence of God the Father, and shine forth in all the splendors of celestial glory. But who will be its inhabitants? Those who have passed through the same process of purification, and none else. As all who partake of the second death must be banished from the presence of God, it necessarily follows, that they must be banished from the glorified earth; for that is redeemed into the presence of God, and enjoys the glory of His power; and no beings can inhabit it but those who are sanctified by the same ordinances and law.