most citedA Note on Nonlinear Schrödinger Equations: Unveiling the Relation Between Spectral Gaps and the Nonlinearity Behavior

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math.AP2019★ 1 cited

A Note on Nonlinear Schrödinger Equations: Unveiling the Relation Between Spectral Gaps and the Nonlinearity Behavior

Mayra Soares Costa Rodrigues, Liliane A. Maia

We establish the existence of a nontrivial weak solution to strongly indefinite asymptotically linear and superlinear Schrödinger equations. The novelty is to identify the essentia…