I have problems installing and configuring the web adapter (server / portal) in linux with java.
When finished installing, should the browser be lifted to continue with the graphic configuration ?
No, the Linux ArcGIS Web Adaptor Java installer does not launch the configuration in the browser. There is a manual step to deploy the arcgis.war into your Java application server (Step 6 or 7 in the installation guide) before you can do the configuration.
Installing ArcGIS Web Adaptor—ArcGIS Web Adaptor (Linux) Installation Guide | ArcGIS Enterprise