MULTIPLICITY OF WEAK SOLUTION FOR A CLASS OF NONUNIFORMLY ELLIPTIC EQUATIONS OF p-LAPLACIAN TYPE

This paper deals with the multiplicity of weak solution in W1;p 0 of a class of nouniformly elliptic equations of the form ¡div(a(x);ru) = f(x; u) in bounded domain ­ of RN. Here we suppose that ja(x; »)j · c0(h0(x) + h1(x)j»jp¡1) for any » in RN, a.e. x 2 ­, h0 2 Lp=p¡1(­), and h1 2 L1 loc(­).