Seyyed Mohsen Khalkhali, Abdolrahman Razani
We prove the existence of three weak solutions of a quasilinear elliptic system involving a general (p,q)-elliptic operator in divergence form, with , . Our main tool is an adaptation of a three critical points theorem due to Ricceri.
Submitted May 8, 2013. Published June 25, 2013.
Math Subject Classifications: 35J50, 35D30, 35J62, 35J92, 49J35.
Key Words: Weak solutions; critical points; Dirichlet system; divergence type operator.
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| Seyyed Mohsen Khalkhali |
Department of Mathematics, Science and Research branch
Islamic Azad University, Tehran, Iran
| Abdolrahman Razani |
Department of Mathematics
Imam Khomeini International University
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