2006 International Conference in Honor of Jacqueline Fleckinger.
Electronic Journal of Differential Equations,
Conference 16 (2007), pp. 59-80.

Title: Existence of solutions for elliptic systems involving
operators in divergence form

Author: Laure Cardoulis (Univ. of Toulouse 1, France)
 
Abstract: 
 In this paper, we obtain some results about the existence of
 solutions to the system
 $$
 -\sum_{k,j=1}^{N} \frac{\partial}{\partial x_k}\big(\rho_{kj,i} \frac{\partial
  u_i}{ \partial x_j}\big)
 +q_iu_i = \mu_i m_iu_i+g_i(x,u_1,\dots,u_n),
 $$
 for $i=1,\dots,n $  defined in   $\mathbb{R}^N$.
 
Published May 15, 2007.
Math Subject Classifications: 35J10.
Key Words: Elliptic systems; sub and super solutions; bifurcation method.