{"product_id":"9788876422492","title":"The obstacle problem","description":"The material presented here corresponds to Fermi lectures that I was invited to deliver at the Scuola Normale di Pisa in the spring of 1998. The obstacle problem consists in studying the properties of minimizers of the Dirichlet integral in a domain D of Rn, among all those configurations u with prescribed boundary values and costrained to remain in D above a prescribed obstacle F. In the Hilbert space H1(D) of all those functions with square integrable gradient, we consider the closed convex set K of functions u with fixed boundary value and which are greater than F in D. There is a unique point in K minimizing the Dirichlet integral. That is called the solution to the obstacle problem.","brand":"Scuola Normale Superiore","offers":[{"title":"Default Title","offer_id":47056708305136,"sku":"9788876422492","price":24.95,"currency_code":"USD","in_stock":false}],"url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9788876422492","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}