To abide in God’s love in this sense means to submit fully to His will.

To abide in God’s love in this sense means to submit fully to His will. It means to accept His correction when needed, “for whom the Lord loveth he chasteneth.”21 It means to love and serve one another as Jesus has loved and served us.22 It means to learn “to abide the law of a celestial kingdom” so that we can “abide a celestial glory.”23 For Him to be able to make of us what we can become, our Heavenly Father pleads with us to yield “to the enticings of the Holy Spirit, and [put] off the natural man and [become] a saint through the atonement of Christ the Lord, and [become] as a child, submissive, meek, humble, patient, full of love, willing to submit to all things which the Lord seeth fit to inflict upon him, even as a child doth submit to his father.”24

"Abide in My Love", D. Todd Christofferson, General Conference October 2016