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一类无AR条件的超线性p-双调和方程的解的存在性

DOI: 10.11830/ISSN.1000-5013.2012.06.0705

Keywords: p-双调和方程, 临界群, (C)条件, Morse理论

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Abstract:

应用Morse理论,研究Navier边值的p-双调和问题的非平凡解的存在性. 研究表明:问题的非线性项是超线性的,但不满足通常的Ambrosetti-Rabinowitz(AR)条件.在新条件下,计算出了无穷远处的临界群.

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