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.