Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 47, pp. 1-12.

Title: A note on quasilinear elliptic eigenvalue problems

Author: Gianni Arioli (Univ. del Piemonte Orientale, Alessandria, Italy)

Abstract: 
 We study an eigenvalue problem by a non-smooth critical point theory.
 Under general assumptions, we prove the existence of at least one solution as
 a minimum of a constrained energy functional. We apply some results on
 critical point theory with symmetry to provide a multiplicity result.


Submitted May 5, 1999. Published November 30, 1999.
Math Subject Classifications: 35D05, 35J20, 35J60.
Key Words: Quasilinear elliptic differential systems; Equivariant category; 
Non-smooth critical point theory;  Eigenvalue problem; Lagrange multipliers.