English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider the Schr\"{o}dinger equation $-\Delta u +V(x)u=f(x, u)$, where$V$ is periodic and $f$ is non-periodic, 0 is a boundary point of thecontinuous spectrum of $A:=-\Delta +V(x)$. We use M. Willem and W. M. Zou'slinking theorem and M. Schechter's method to establish an existence result forthis problem in weak superlinear cases. In a sense, we enrich a recent resultof M. Willem and W.M. Zou [M. Willem and W.M. Zou, On a Schr\"{o}dingerEquation with Periodic Potential and Spectrum Point Zero,Indiana Univ. Math. J.2003].

On Schr\"odinger equations with periodic potentials and with nonperiodic nonlinearities