RADIAL SOLUTION OF ASYMPTOTICALLY LINEAR ELLIPTIC EQUATION WITH MIXED BOUNDARY VALUE IN ANNULAR DOMAIN

Jian Tian; Yuanhong Wei

doi:10.11948/20200306

2020 Volume 10 Issue 6

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Jian Tian, Yuanhong Wei. RADIAL SOLUTION OF ASYMPTOTICALLY LINEAR ELLIPTIC EQUATION WITH MIXED BOUNDARY VALUE IN ANNULAR DOMAIN[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2787-2805. doi: 10.11948/20200306

Citation:

Jian Tian, Yuanhong Wei. RADIAL SOLUTION OF ASYMPTOTICALLY LINEAR ELLIPTIC EQUATION WITH MIXED BOUNDARY VALUE IN ANNULAR DOMAIN[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2787-2805. doi: 10.11948/20200306

RADIAL SOLUTION OF ASYMPTOTICALLY LINEAR ELLIPTIC EQUATION WITH MIXED BOUNDARY VALUE IN ANNULAR DOMAIN

Jian Tian¹,
Yuanhong Wei^1, ,

1.
School of Mathematics, Jilin University, Changchun 130012, China

Corresponding author: Email: weiyuanhong@jlu.edu.cn(Y. Wei)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 11871242), and Natural Science Foundation of Jilin Province of China (No. 20200201248JC)

Abstract

Abstract

In this paper, we study nonlinear elliptic equation with mixed boundary value condition in annular domain. It is assumed that the nonlinearity is asymptotically linear and depends on the derivative term. Some results on the existence of solution are established by nonlinear analysis methods.
- Mixed boundary value /
- annular domain /
- radial solution /
- gradient term /
- iterative method
MSC: 35J91, 35J25, 35A01

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References

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