Publication at Faculty of Mathematics and Physics |
2012
Abstract
We study boundary value problems associated to a nonlinear elliptic system of partial differential equations. The leading second order elliptic operator provides (2)-coerciveness and has at most linear growth with respect to the gradient.
Incorporating properties of Lipschitz approximations of Sobolev functions we are able to show that the problems in consideration are well-posed in the sense of Hadamard. For simplicity we restrict ourselves to the Dirichlet problem.