Full Stack Web Development with Laravel and Vue.js refers to the practice of building web applications that encompass both the frontend and backend aspects of development, utilizing the Laravel PHP framework for the backend and the Vue.js JavaScript framework for the frontend. 

Full Stack Web Development with Laravel and Vue.js involves creating a web application with a robust and efficient backend using Laravel and a dynamic, interactive frontend using Vue.js. This approach provides a well-rounded skill set for developers to tackle various challenges in building modern web applications.