Existence of Multiple Solutions for Quasilinear Diagonal Elliptic Systems

Abstract

<p>Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system</p> <pre>-∑ⁿ_i,j=1 D_j (α^k_ij (x, u)D_iu_k) + 1/2 ∑ⁿ_i,j=1 ∑^N_h=1 D_sk α^h_ij (x, u) D_iu_h D_ju_h = g_k (x, u),<br> for k = 1, .., N.</pre>