ECDHE is quite widely used and recommend. And it works with elliptical keys and provides forward secrecy. It's used for the key exchange.
ECDSA is not widely used though, but it does also use elliptical keys. It it used for authentication the server via (TLS) certificates.
More information about the differences here: ECDSA vs ECDH vs Ed25519 vs Curve25519
- However regarding the usage in browsers is there any difference between the curves used in ECDHE and ECDSA?
- Do browsers support the same curves for every elliptical curves algorithm? Do they possibly even always used the same curve for ECDHE and ECDSA in