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RN上一类超线性椭圆型方程的解

, PP. 152-155

Keywords: 超线性椭圆型方程,Ambrosetti-Rabinowitz条件,Cerami条件,喷泉定理

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Abstract:

研究了一类超线性椭圆型方程的多重正解.在不假设非线性项满足Ambrosetti-Rabinowitz条件的情况下,利用改进了的喷泉定理,即通过证明变分泛函满足Cerami条件,得到了这类椭圆型方程无穷多个正解的存在性,推广了一些已知结果

References

[1]  Williem M. Minimax Theorems[M]. Boston:Birkhuser,1996.
[2]  Bartolo P, Benci V, Fortunato D. Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity[J]. Nonl Anal:TMA,1983,7:981-1012.
[3]  廖为,蒲志林. 一类缺乏紧性的p-Laplace方程非平凡弱解的存在性[J]. 四川师范大学学报:自然科学版,2006,29(1):26-29.
[4]  廖为,蒲志林. 一类拟线性椭圆方程Dirichlet问题正解的存在性[J]. 四川师范大学学报:自然科学版,2007,30(1):31-35.
[5]  陈顺清. 一类p-Laplace奇异初值问题正解的存在性[J]. 四川师范大学学报:自然科学版,2004,27(2):165-168.
[6]  张申贵. 一类超二次椭圆方程的无穷多解[J]. 西华师范大学学报:自然科学版,2006,27(2):191-194.
[7]  Chung N T, Toan H Q. On a class of degenerate and singular elliptic systems in bounded domains[J]. J Math Anal Appl,2009,360(2):422-431.
[8]  Stuart C A, Zhou H S. A variational problem related to self-trapping of an electromagnetic field[J]. Math Methods in the Applied Sciences,1996,19:1397-1407.
[9]  Ramos M. On singular perturbations of superlinear elliptic systems[J]. J Math Anal Appl,2009,352(1):246-258.
[10]  Chen K J. Exact multiplicity results and bifurcation for nonhomogeneous elliptic problems[J]. Nonl Anal TMA,2008,68(11):3246-3265.
[11]  Palais R S. The principle of symmetric criticality[J]. Commun Math Phys,1979,69:19-30.
[12]  Jeanjean L. On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer type problem set on RN[J]. Proc Roy Soc Edinburgh,1999,A
[13]  9:787-809.
[14]  Zou W M. Variant fountain theorems and their applications[J]. Manusc Math,2001,104:343-358.
[15]  赵俊峰. Banach空间结构理论[M]. 武汉:武汉大学出版社,1991.
[16]  Bartsch T. Infinitely many solutions of a symmetric Dirichlet problem[J]. Nonl Anal:TMA,1993,20:1205-1216.

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