Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Darmon, Henri / Duzaar, Frank / Echterhoff, Siegfried / Gordina, Maria / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

6 Issues per year


IMPACT FACTOR 2017: 0.695
5-year IMPACT FACTOR: 0.750

CiteScore 2017: 0.65

SCImago Journal Rank (SJR) 2017: 0.966
Source Normalized Impact per Paper (SNIP) 2017: 0.889

Mathematical Citation Quotient (MCQ) 2016: 0.75

Online
ISSN
1435-5337
See all formats and pricing
More options …
Volume 27, Issue 3

Issues

On a class of parametric Neumann problems with indefinite and unbounded potential

Nikolaos S. Papageorgiou / George Smyrlis
Published Online: 2013-06-28 | DOI: https://doi.org/10.1515/forum-2012-0042

Abstract

We consider a parametric Neumann problem with an indefinite and unbounded potential. Using a combination of critical point theory with truncation and comparison techniques, with Morse theory and with invariance arguments for a suitable negative gradient flow, we prove two multiplicity theorems for certain values of the parameter. In the first theorem we produce three solutions and in the second five. For all solutions we provide sign information. Our work improves significantly results existing in the literature.

Keywords: Indefinite and unbounded potential; truncations-perturbations; mountain pass theorem; Morse theory; gradient flow; invariance properties

MSC: 35J20; 35J60; 58E05

About the article

Received: 2012-03-31

Revised: 2013-04-07

Published Online: 2013-06-28

Published in Print: 2015-05-01


Citation Information: Forum Mathematicum, Volume 27, Issue 3, Pages 1743–1772, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2012-0042.

Export Citation

© 2015 by De Gruyter.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Leszek Gasiński and Nikolaos S. Papageorgiou
Science, Technology and Innovation, 2018, Volume 2, Number 1, Page 74
[2]
Nikolaos S. Papageorgiou, Calogero Vetro, and Francesca Vetro
manuscripta mathematica, 2018
[3]
Nikiforos Mimikos-Stamatopoulos and Nikolaos S. Papageorgiou
Bulletin of the Malaysian Mathematical Sciences Society, 2017
[4]
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, and Dušan D. Repovš
Journal of Differential Equations, 2017, Volume 263, Number 6, Page 3244
[5]
Shouchuan Hu and Nikolaos S. Papageorgiou
Communications on Pure and Applied Analysis, 2016, Volume 15, Number 6, Page 2489
[6]
Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu
Revista Matemática Complutense, 2016, Volume 29, Number 1, Page 91
[7]
Shouchuan Hu and Nikolaos S. Papageorgiou
Communications on Pure and Applied Analysis, 2015, Volume 14, Number 6, Page 2561
[8]
Giuseppina D'Aguì, Salvatore A. Marano, and Nikolaos S. Papageorgiou
Journal of Mathematical Analysis and Applications, 2016, Volume 433, Number 2, Page 1821

Comments (0)

Please log in or register to comment.
Log in