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Deformation from symmetry for Schrödinger equations of higher order on unbounded domains. (English) Zbl 1037.35083
Summary: 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 Schrödinger equations with nonhomogeneous boundary data on unbounded domains.

MSC:
35Q55 NLS equations (nonlinear Schrödinger equations)
35B38 Critical points of functionals in context of PDEs (e.g., energy functionals)
31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
35G30 Boundary value problems for nonlinear higher-order PDEs
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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