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LANDESMAN-LAZER TYPE CONDITIONS FOR SCALAR ONE-SIDED SUPERLINEAR NONLINEARITIES WITH NEUMANN BOUNDARY CONDITIONS

Rossella Marvulli
•
Andrea Sfecci
2023
  • journal article

Periodico
ADVANCES IN DIFFERENTIAL EQUATIONS
Abstract
In this paper, we provide an existence result for a scalar di erential equation ruled by a nonlinearity near resonance presenting a one-sided superlinear condition. The result is achieved by the introduction of a suitable Landesman-Lazer type condition. The main theorem can be extended also to the case of equations with a singularity. The proof is given by using a shooting method technique.
DOI
10.57262/ade028-0304-247
WOS
WOS:000876212800001
Archivio
https://hdl.handle.net/11368/3032658
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85141298039
https://projecteuclid.org/journals/advances-in-differential-equations/volume-28/issue-3_2f_4/Landesman-Lazer-type-conditions-for-scalar-one-sided-superlinear-nonlinearities/ade028-0304-247.short
Diritti
closed access
license:copyright dell'editore
license uri:publisher
FVG url
https://arts.units.it/request-item?handle=11368/3032658
Soggetti
  • Sturm–Liouville bound...

  • Neumann problem

  • shooting method

  • double resonance

  • Landesman–Lazer condi...

  • equations with singu...

  • superlinear growth.

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