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EXISTENCE OF POSITIVE SOLUTION FOR INDEFINITE KIRCHHOFF EQUATION IN EXTERIOR DOMAINS WITH SUBCRITICAL OR CRITICAL GROWTH
Published online by Cambridge University Press: 23 December 2016
Abstract
Using variational methods and depending on a parameter $\unicode[STIX]{x1D706}$ we prove the existence of solutions for the following class of nonlocal boundary value problems of Kirchhoff type defined on an exterior domain $\unicode[STIX]{x1D6FA}\subset \mathbb{R}^{3}$:
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 103 , Issue 3 , December 2017 , pp. 329 - 340
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
Footnotes
The first author was partially supported by PROCAD/CASADINHO: 552101/2011-7 and CNPq/PQ 301242/2011-9; the second author was partially supported by PROCAD/Casadinho: 552.464/2011-2 and FNDE-PET/BRAZIL.
References
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