Positive solutions of the Robin problem for semi-linear elliptic equations on annuli

被引：0

作者：

Department of Applied Mathematics, Hunan University, Changsha, Hunan 410082, China ^{[1
]}

不详 ^{[2
]}

机构：

[1] Department of Applied Mathematics, Hunan University, Changsha

[2] Department of Mathematics, Hunan Normal University, Changsha

来源：

Att Aca Naz Lincei Cl Sci Fis Mat Nat Rend Lincei Mat Appl | 2008年 / 3卷 / 175-188期

关键词：

Positive solutions; Robin problem; Semilinear elliptic equations;

D O I：

10.4171/RLM/516

中图分类号：

学科分类号：

摘要：

Let n ≥ 3 and ωR = {x ε Rn; R < |x| < 1}. We consider the following Robin problem: (EQUATION PRESANT) where β is a positive parameter and v is the unit outward vector normal to ∂ωR. Under the assumptions (F1)-(F5) in the introduction, we prove that the above problem has at most one solution when β is small enough. In addition to (F1)-(F5), if (A1) in the introduction is satisfied, then the above problem has at least k nonradial solutions when β is large enough.

引用

页码：175 / 188

页数：13

共 19 条

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