[PDF][PDF] A non-periodic and asymptotically linear indefinite variational problem in RN

LA Maia, JCO Junior, R Ruviaro - Indiana University Mathematics …, 2017 - academia.edu
We consider the nonlinear Schrödinger equation−∆ u+ V (x) u= f (u) in RN, where V changes
sign and f is an asymptotically linear function at infinity, with V non-periodic in x. The
existence of a solution is established by employing spectral theory, a classical linking
theorem, and interaction between translated solutions of the problem at infinity.

A Non-periodic and Asymptotically Linear Indefinite Variational Problem in ℝ N

L de Almeida Maia, JCO Junior, R Ruviaro - Indiana University Mathematics …, 2017 - JSTOR
We consider the nonlinear Schrödinger equation− Δu+ V (x) u= f (u) in ℝN, where V changes
sign and f is an asymptotically linear function at infinity, with V non-periodic in x. The
existence of a solution is established by employing spectral theory, a classical linking
theorem, and interaction between translated solutions of the problem at infinity.
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