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
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