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Commun. Korean Math. Soc. 2014; 29(1): 37-50
Printed January 31, 2014
https://doi.org/10.4134/CKMS.2014.29.1.37
Copyright © The Korean Mathematical Society.
On a class of semilinear elliptic systems involving Grushin type operator
Nguyen Thanh Chung
Quang Binh University
Using variational methods, we prove some results on the non-existence and multiplicity of weak solutions for a class of semilinear elliptic systems of two equations involving Grushin type operators with sign-changing nonlinearities. We also shows that the similar results can be obtained for systems of $m$ equations, where $m$ is arbitrary.
Keywords: semilinear elliptic systems, Grushin type operator, non-existence, multiplicity, variational methods
MSC numbers: 34B27, 35J60, 35B05
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