Semilinear Elliptic Systems with Dependence on the Gradient

被引：7

作者：

Cianciaruso, Filomena ^{[1
]}

Pietramala, Paolamaria ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Arcavacata Rende Cosenza, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 04期

关键词：

Elliptic system; annular domain; radial solution; non-existence; cone; fixed point index; BOUNDARY-VALUE-PROBLEMS; POSITIVE RADIAL SOLUTIONS; HAMMERSTEIN INTEGRAL-EQUATIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1007/s00009-018-1203-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide results on the existence, non-existence, multiplicity, and localization of positive radial solutions for semilinear elliptic systems with Dirichlet or Robin boundary conditions on an annulus. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory.

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页数：13

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