Multiplicity of critical points in presence of a linking: application to a superlinear boundary value problem

Original Paper

DOI: 10.1007/s00030-004-2016-2

Cite this article as:
Mugnai, D. Nonlinear differ. equ. appl. (2004) 11: 379. doi:10.1007/s00030-004-2016-2

Abstract.

We consider a general nonlinear elliptic problem of the second order whose associated functional presents two linking structures and we prove the existence of three nontrivial solutions to the problem.

2000 Mathematics Subject Classification:

35J65 35J20 49J40. 

Key words:

∇-condition linking superlinear and subcritical equations. 

Copyright information

© Birkhäuser Verlag, Basel 2004

Authors and Affiliations

  1. 1.Dipartimento di Matematica e InformaticaUniversitá di PerugiaPerugiaItaly

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