On quasilinear elliptic problems without the Ambrosetti–Rabinowitz condition

Using variational arguments, we establish the existence of multiple solutions for quasilinear elliptic problems driven by the Φ-Laplacian operator. A major point is that we ensure compactness without the well-known Ambrosetti–Rabinowitz superlinearity condition.

Saved in:

Bibliographic Details
Published in	Journal of mathematical analysis and applications Vol. 426; no. 1; pp. 466 - 483
Main Authors	Carvalho, M.L.M., Goncalves, Jose V.A., da Silva, E.D.
Format	Journal Article
Language	English
Published	Elsevier Inc 01.06.2015
Subjects	Maximum principle Superlinear elliptic problems Φ-Laplacian operator Superlinear elliptic problems Maximum principle Φ-Laplacian operator
Online Access	Get full text

Cover

Loading…

More Information
Summary:	Using variational arguments, we establish the existence of multiple solutions for quasilinear elliptic problems driven by the Φ-Laplacian operator. A major point is that we ensure compactness without the well-known Ambrosetti–Rabinowitz superlinearity condition.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2015.01.023