Nonexistence of positive solutions for a class of semilinar elliptic systems in a ball

被引:0
作者
Hai D.D. [1 ]
机构
[1] Department of Mathematics and Statistics, Mississippi State University, Mississippi State, 39762, MS
关键词
Elliptic systems; Nonexistence; Positive solutions;
D O I
10.1007/s11587-014-0194-8
中图分类号
学科分类号
摘要
We prove the nonexistence of positive solutions to the system (Formula Presented.) where B is the open unit ball in RN, N>1,λ,μ are positive constants bounded away from 0 with λμ large, f,g are smooth functions with f(0),g(0)<0,f∘(cg) and g∘(cf) growing at least linearly at ∞. © 2014, Università degli Studi di Napoli Federico II"."
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页码:57 / 64
页数:7
相关论文
共 17 条
[11]  
Hai D.D., Shivaji R., An existence result on positive solutions for a class of semilinear elliptic systems, Proc. Roy. Soc. Edinb., 134A, pp. 137-141, (2004)
[12]  
Hai D.D., Nonexistence of positive solutions for a class of p-Laplacian boundary, Appl. Math. Lett, 31, pp. 12-15, (2014)
[13]  
Hakimi S., Zertiti A., Nonexistence of radial positive solutions for a nonpositone problem, Electron. J. Diff. Equ., 2011, (2011)
[14]  
Hakimi S., Nonexistence of radial positive solutions for a nonpositone system in an annulus, Electron. J. Diff. Equ., 2011, (2011)
[15]  
Murray J.D., Mathematical Biology, (2002)
[16]  
Smoller J., Wasserman A., Existence of positive solutions for semilinear elliptic equations in general domains, Arch. Ration. Mech. Anal., 98, pp. 229-249, (1987)
[17]  
Troy W.C., Symmetry properties in systems of semilinear elliptic equations, J. Diff. Equ., 42, pp. 400-413, (1981)