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Existence of positive solutions to Kirchhoff type problems with zero mass.
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2014, Vol. 410 Issue 1, p361-374. 14p. - Publication Year :
- 2014
-
Abstract
- Abstract: The existence of positive solutions depending on a nonnegative parameter λ to Kirchhoff type problems with zero mass is proved by using variational method, and the new result does not require usual compactness conditions. A priori estimate and a Pohozaev type identity are used to obtain the bounded Palais–Smale sequences for constant coefficient nonlinearity, while a cut-off functional and Pohozaev type identity are utilized to obtain the bounded Palais–Smale sequences for the variable-coefficient case. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 410
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 90586354
- Full Text :
- https://doi.org/10.1016/j.jmaa.2013.08.030