J4 ›› 2013, Vol. 48 ›› Issue (2): 62-66.
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CHENG Yong-kuang, YAO Yang-xin, HAN Ya-die
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Abstract:
We establish a new Hilbert space and the existence of nontrivial solutions of nonlinear elliptic equation with Hardy potential and critical potential in the new Hilbert space by using the Mountain pass theorem with (PS) condition. Also, the existence of multiple solutions are proved by using Fountain theorem.
Key words: elliptic equation; Hardy potential; Mountain Pass lemma; Fountain theorem
CHENG Yong-kuang, YAO Yang-xin, HAN Ya-die. The existence of solutions for a elliptic equations with Hardy potential[J].J4, 2013, 48(2): 62-66.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2013/V48/I2/62
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