Dipartimento di Scienze e T.A.
Universita del Piemonte Orientale
C.so Borsalino 54
15100 Alessandria Italy
e-mail: gianni@mfn.unipmn.it
http://www.mfn.unipmn.it/~gianni
Gianni Arioli
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. 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.
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Gianni Arioli Dipartimento di Scienze e T.A. Universita del Piemonte Orientale C.so Borsalino 54 15100 Alessandria Italy e-mail: gianni@mfn.unipmn.it http://www.mfn.unipmn.it/~gianni |
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