Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (4): 549-558.
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GUO Zhen-Hua
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国家自然科学基金资助
Abstract:
讨论了非齐次双调和方程边值问题Δ２u＝λu＋u^(N＋４/N－４)＋μf（x）解的非存在性结果及分枝现象．这里Ω 是犚犖内有界光滑区域，N＞４，λ∈R^１，μ≥０，f（x）是非负连续函数．
Key words: 双调和问题, 解的非存在性, 分枝
CLC Number:
GUO Zhen-Hua. Nonexistence and Bifurcation Solutions for Δ２u＝λu＋u^(N＋４/N－４)＋μf（x）[J].Acta mathematica scientia,Series A, 2001, 21(4): 549-558.
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http://121.43.60.238/sxwlxbA/EN/Y2001/V21/I4/549
１ 郭真华，邓引斌．Δ２u＝λu＋u^(N＋４/N－４)＋μf（x）的多解存在性．数学物理学报，１９９９，１９（２）：１３８－１４８ ２ ＧｉｄａｓＢ，ＮｉＷ Ｍ，ＮｉｒｅｎｂｅｒｇＬ．Ｓｙｍｍｅｔｒｙｏｆｐｏｓｉｔｉｖｅｏｆｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｉｎ犚犖．ＡｄｖＭａｔｈＳｔｕｄｉｅｓＡ，１９８１，７：３６９－４０２ ３ ＬｉＣ Ｍ．Ｍｏｎｏｔｏｎｉｃｉｔｙａｎｄｓｙｍｍｅｔｒｙｏｆｓｏｌｕｔｉｏｎｓｏｆｆｕｌｌｙｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｏｎｕｎｂｏｕｎｄｅｄｄｏｍａｉｎｓ．ＣｏｍｍＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ，１９９１，１６：５８５－６１５ ４ ＬｉＹ，ＮｉＷ Ｍ．Ｒａｄｉａｌｓｙｍｍｅｔｒｙｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｓｏｆｓｅｍｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ犚犖．ＣｏｍｍＰａｒｔｉａｌＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ，１９９３，１８（５，６）：１０４３－１０５４ ５ ＤｅｎｇＹｉｎｂｉｎ，ＹｉＬｉ．ＥｘｉｓｔｅｎｃｅａｎｄｂｉｆｕｒｃａｔｉｏｎｏｆｔｈｅＰｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｓｆｏｒａｓｅｍｉｌｉｎｅａｒｅｑｕａｔｉｏｎｗｉｔｈｃｒｉｔｉｃａｌｅｘｐｏｎｅｎｔ．ＪｏｕｒｎａｌｏｆＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎ，１９９６，１３０（１）：１７９－２００
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