Variational Properties of a Generic Model Equation in Exterior 3D Domains

S. Kračmar, P. Penel
2004 Funkcialaj Ekvacioj  
We study a generic model equation in an exterior domain. We assume the case of a non-constant coe‰cient function. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev spaces. As the main tool we derive and apply an inequality of the Friedrichs-Poincaré type.
doi:10.1619/fesi.47.499 fatcat:6d2ouw4nlzdxhp22zfkq5nd5sm