Aixia Qian
Abstract:
Using critical point theory and index theory, we prove
the existence and multiplicity of sign-changing solutions for
some elliptic problems with strong resonance at infinity, under
weaker conditions than in the references.
Submitted June 14, 2011. Published January 26, 2012.
Math Subject Classifications: 35J65, 58E05.
Key Words: Critical point theory; strong resonance; index theory;
Cerami condition.
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Aixia Qian School of Mathematic Sciences, Qufu Normal University Qufu, Shandong 273165, China email: qaixia@amss.ac.cn |
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