The Remote Play.apk (V0.61) removes connection speed and WiFi checks, allowing you to connect to your PS4 over slower connections.  Here how to install it..

1. Download and install RemotePlayPort.apk (if you have a previous version installed run “adb uninstall com.playstation.remoteplay” first.)
2. (Optional) Download and Install DualShockManager.apk
3. Move APK into ‘/system/app/’ and change permissions to RW-R-R
4. Reboot

Need more info you can find it here. no-need-for-a-rooted-android-the-ps4-remote-play-app-works-for-all-devices

Update:

DOWNLOADS:
Version 5.2 (Fixed mobile data but now has speed check reintroduced)
MEGA:
RemotePlayPortV5.2.apk

Zippyshare
RemotePlayPortV5.2.apk

Version 5.1
MEGA
RemotePlayPortV5.1.apk

Zippyshare
RemotePlayPortV5.1.apk

Invisible Buttons
Version 5.1
MEGA
RemotePlayPortV5.1_ITB.apk

Zippyshare
RemotePlayPortV5.1_ITB.apk

Version 5.0

RemotePlayPortV5.0.apk

Version 4.0
MEGA
RemotePlayPortV4.0.apk
RemotePlayPortITBV4.0.apk (Invisible touch buttons) Thank to @Leonidas87

Version 3.3 fixes a few bugs and issues with the app.

RemotePlayPortV3.3.apk
RemotePlayPortITBV3.3.apk (Invisible touch buttons) Thank to @Leonidas87

Mirror: RemotePlayPortV3.3.apk

Native USB dualshock 4 support
A couple of things to note for this release:

1. There is a popup on launching the application that asks for permissions to access the usb device, you must click ok for the controller to work.
2. You must have the Dualshock 4 controller connected when launching the remote play app, it will not be detected if you connect it after launching remote play.

Older files Downloads:

PS4 FW 3.00 RemotePlayPortV3.0.apk
PS4 FW 3.00 (mirror) RemotePlayPortV3.0.apk

Older files:
RemotePlayPortV1.3.2.apk
RemotePlayPortITBV1.3.2.apk (Invisible touch buttons)

Dropbox
RemotePlayPortV1.3.2.apk
RemotePlayPortITBV1.3.2.apk (Invisible touch buttons)

Stock version with only root check patched
Dropbox
RemotePlayPort_Rooted.apk

Older files..
RemotePlayPortV1.4_Beta_Native.apk
RemotePlayPortITBV1.4_Beta_Native.apk
RemotePlayPortV1.0.0.apk
RemotePlayPortITBV1.0.apk (Invisible Touch Buttons)
RemotePlayInstallerV1.0.0.zip

source: