Skip to main content
SpringerLink
Log in

Two nontrivial solutions for strongly resonant nonlinear elliptic equations

  • Original paper
  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract.

We consider a nonlinear elliptic differential equation driven by the p-Laplacian and with strong resonance at infinity. Using the so-called “second deformation theorem” we prove the existence of at least two nontrivial solutions. The approach is variational.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, National Technical University, Zografou Campus, 15780 , Athens, Greece

    S. Th. Kyritsi & N. S. Papageorgiou

  2. Département de Mathématiques, Université de Perpignan, 52, Avenue de Villeneuve, F-66860, Perpignan Cedex, France

    D. Motreanu

Authors
  1. S. Th. Kyritsi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. S. Papageorgiou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Motreanu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to S. Th. Kyritsi, N. S. Papageorgiou or D. Motreanu.

Additional information

Received: 23 December 2002; revised manuscript accepted: 11 November 2003

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kyritsi, S., Papageorgiou, N. & Motreanu, D. Two nontrivial solutions for strongly resonant nonlinear elliptic equations. Arch. Math. 83, 60–69 (2004). https://doi.org/10.1007/s00013-003-4781-2

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00013-003-4781-2

Mathematics Subject Classification (2000):

Search

Navigation