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.
Seyyed Mohsen Khalkhali, Abdolrahman Razani
Abstract:
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 email: sm.khalkhali@srbiau.ac.ir |
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Abdolrahman Razani Department of Mathematics Imam Khomeini International University Qazvin, Iran email: razani@ikiu.ac.ir |
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