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Annali di Matematica Pura ed Applicata (1923 -)

, Volume 196, Issue 4, pp 1399–1430 | Cite as

Positive solutions for asymptotically linear problems in exterior domains

  • Liliane A. Maia
  • Benedetta Pellacci
Article
  • 258 Downloads

Abstract

The existence of a positive solution for a class of asymptotically linear problems in exterior domains is established via a linking argument on the Nehari manifold and by means of a barycenter function.

Keywords

Asymptotically linear problems Exterior domains Schrödinger equation 

Mathematics Subject Classification

35J20 35J25 35J61 35Q55 

Notes

Acknowledgments

Part of this work has been done while the second author was visiting the University of Brasilia. She wishes to thank all the departamento de Matemática for the warm hospitality. A special thank goes to the Liliane’s family for the hospitality and the friendly atmosphere. The authors thank the anonymous referee whose important comments helped them to improve their work.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Departamento de MatemáticaUniversidade de BrasíliaBrasíliaBrazil
  2. 2.Dipartimento di Scienze e TecnologieUniversità di Napoli “Parthenope”NaplesItaly

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