W2,2 A Priori Bounds for a Class of Elliptic Operators
Sara Monsurrò, Maria Salvato, Maria Transirico · International Journal of Differential Equations · 2011
We obtain some W2,2 a priori bounds for a class of uniformly elliptic second‐order differential operators, both in a no‐weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighted Sobolev spaces on unbounded domains.