Wei Liu, Gao Jia, Lu-Qian Guo
Abstract:
In this article, we prove multiplicity of solutions for the sum of
polyharmonic equation with critical Sobolev exponent.
The proof is based upon the methods of weakly lower semi-continuous of
the functionals and the Mountain Pass Lemma without (PS) conditions.
Submitted November 21, 2014. Published February 17, 2015.
Math Subject Classifications: 35J30, 35J60.
Key Words: Polyharmonic equation; multiple solutions; critical Sobolev exponent.
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Wei Liu College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: liuweimaths@hotmail.com |
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Gao Jia College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: gaojia89@163.com |
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Lu-Quian Guo College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: xiaoshudian.2008@163.com |
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