EIGENVALUES OF THE P-LAPLACIAN WITH NOLINEAR BOUNDARY CONDITIONS VIA LJUSTERNIC-SCHNIRELMAN PRINCIPLE

This paper deals with the existence of nondecreasing sequence of nonnegative eigenvalues for the problem ( ¡¢pu = ¸a(x)ujujp¡2 in ­; jrujp¡2ru:´ + b(x)jujp¡2u = 0 on @­; by using the Ljusternic-Schnirelman principle, where the domain ­ is a bounded domain in RN(N ¸ 2), and ´ is the unit outward normal vector on @­.