Existence of Multiple Solutions for Quasilinear Diagonal Elliptic Systems

Abstract

Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system -n∑i,j=1 Dj(akij(x,u)Diuk) + 1/2 n∑i,j=1 N∑h=1 Dsk ahij(x,u) DiuhDjuh = gk(x,u), for k = 1, ..,N.