When you search on app.ens.domains, most results show a label. The label tells you whether you can register the name, or where to go instead.

Nobody holds the .eth name, so you can register it. Select it to open the registration page, which shows the price for each term. See Register a .eth name.

Someone already holds the .eth name, so you can't register it. Select it to see its owner and its expiry date. If the owner doesn't renew it, the name goes through a grace period. After that anyone can register it, with an extra fee for the first 21 days (Price Cooldown). See .eth name lifecycle.

The name has expired and is in its grace period: 28 days for a name on ENSv2, or 90 days for a name that hasn't been upgraded. The end date works out the same either way. Anyone can still renew it at the normal price, and nobody else can register it.

The grace period has ended. For 21 days anyone can register the name, with an extra fee that starts high and falls to $0. See Price Cooldown.

An address, like 0xd8dA…6045, shows no label. Select it to open the address's page in the ENS App, which lists the names it holds.

You searched for a DNS name, like example.com. DNS names are handled in ENS Explorer. There you can see whether the name is already in ENS, and import a domain you own. See Import a DNS name.

You searched for a subname, like pay.yourname.eth, that hasn't been created. The parent name's owner can create it in ENS Explorer, or its Manager if it's an unwrapped name still on ENSv1. See Create a subname in ENS Explorer.

The name can't be registered. Either it's too short, like ab.eth, or it uses characters ENS doesn't allow, like a space. See What names are allowed?

No. If you type a name with no ending, like 184, the search looks up 184.eth.

No. The search turns capitals into lower case, so HELLO.eth finds hello.eth.