Electron. J. Diff. Eqns., Vol. 2003(2003), No. 65, pp. 1-15.

Deformation from symmetry for Schrodinger equations of higher order on unbounded domains

Addolorata Salvatore & Marco Squassina

Abstract:
By means of a perturbation method recently introduced by Bolle, we discuss the existence of infinitely many solutions for a class of perturbed symmetric higher order Schrodinger equations with non-homogeneous boundary data on unbounded domains.

Submitted February 10, 2003. Published June 11, 2003.
Math Subject Classifications: 31B30, 35G30, 58E05.
Key Words: Higher order Schrodinger equations, deformation from symmetry.

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Addolorata Salvatore
Dipartimento di Matematica
Universita di Bari
Via Orabona 4, I-70123 Bari, Italy
email: salvator@dm.uniba.it
Marco Squassina
Dipartimento di Matematica "F. Brioschi"
Politecnico di Milano
Via L. da Vinci 32, I-20133 Milano, Italy
email: squassina@mate.polimi.it
http://www1.mate.polimi.it/~squassina

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