25:11 They shall know that I am Yahweh- God judged nations in order that men mightknow Him as Yahweh (see too 28:22; 30:19). But did they? Often God states His intentions and wishes for people’s faith as if they have been realized. In this we can see the hopefulness of God, like the shepherd who searches for the lost sheep with the attitude that he will search until he finds it (Lk. 15:4). We should have this hopefulness in all our witnessing to others.
25:14 By the hand of My people Israel- The Law of Moses had commanded Israel not to hate Edomites (Dt. 23:7); so they were intended to carry out this judgment with no personal hatred, just as at times we have to.  Despite Josephus claiming that the Maccabees fulfilled this prophecy, Obadiah 21 speaks of how this judgment will be fulfilled in the last days around the second coming of Christ (cp. Is. 63:1).
25:15 For the old enmity- A reference to the Jacob:Esau hatred, which will finally be resolved in Jacob’s favour- by God’s grace alone. 
25:16 The rest of the sea coast- The Hebrew word for ‘Philistine’ is the same as that now used for ‘Palestinian’; the Palestinians of the Gaza Strip are in exactly the geographical location spoken of here.  

Commentary

CHAPTER 25 Sep. 29 
Against Ammon
The word of Yahweh came to me, saying, 2Son of man, set your face toward the people of Ammon, and prophesy against them: 3and tell the people of Ammon, Hear the word of the Lord Yahweh: Thus says the Lord Yahweh, Because you said, Aha, against My sanctuary when it was profaned, and against the land of Israel when it was made desolate; and against the house of Judah when they went into captivity: 4therefore behold, I will deliver you to the people of the east for a possession, and they shall set their encampments in you, and make their dwellings in you; they shall eat your fruit, and they shall drink your milk. 5I will make Rabbah a stable for camels, and the people of Ammon a resting place for flocks: and you shall know that I am Yahweh. 6For thus says the Lord Yahweh: Because you have clapped your hands, stamped with the feet and rejoiced with all the despite of your soul against the land of Israel; 7therefore behold, I have stretched out My hand upon you and will deliver you for a spoil to the nations; and I will cut you off from the peoples, and I will cause you to perish out of the countries. I will destroy you; and you shall know that I am Yahweh. 8Thus says the Lord Yahweh: Because Moab and Seir say, Behold, the house of Judah is like all the nations; 9therefore, behold, I will open the side of Moab from the cities, from his cities which are on his frontiers, the glory of the country, Beth Jeshimoth, Baal Meon, and Kiriathaim, 10to the people of the east, to go against the children of Ammon; and I will give them for a possession, that the people of Ammon may not be remembered among the nations. 11I will execute judgments on Moab; and they shall know that I am Yahweh.
Against Edom
12Thus says the Lord Yahweh: Because Edom has dealt against the house of Judah by taking vengeance and has greatly offended and revenged himself on them; 13therefore thus says the Lord Yahweh, I will stretch out My hand on Edom, and will cut off man and animal from it; and I will make it desolate: from Teman even to Dedan shall they fall by the sword. 14I will lay My vengeance on Edom by the hand of My people Israel; and they shall do in Edom according to My anger and according to My wrath; and they shall know My vengeance, says the Lord Yahweh.
 Against the Philistines
15Thus says the Lord Yahweh: Because the Philistines have dealt by revenge, and have taken vengeance with despite of soul to destroy for the old enmity; 16therefore thus says the Lord Yahweh, Behold, I will stretch out My hand on the Philistines, and I will cut off the Cherethites, and destroy the rest of the sea coast. 17I will execute great vengeance on them with wrathful rebukes; and they shall know that I am Yahweh, when I shall lay My vengeance on them.