EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS

Xiaofeng Ke; Chunlei Tang

doi:10.11948/2156-907X.20180240

2019 Volume 9 Issue 4

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Xiaofeng Ke, Chunlei Tang. EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1347-1358. doi: 10.11948/2156-907X.20180240

Citation:

Xiaofeng Ke, Chunlei Tang. EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1347-1358. doi: 10.11948/2156-907X.20180240

EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS

Xiaofeng Ke¹,
Chunlei Tang^1, ,

1.
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Corresponding author: Email address: tangcl@swu.edu.cn (C. Tang)
Fund Project: The authors were supported by National Natural Science Foundation of China (No.11226118, No.11471267), "Fundamental Research Funds for the Central Universities" (XDJK2018C073) and Doctoral Fund of Southwest University (SWU111060)

Abstract

Abstract

We study a class of noncooperative elliptic systems. By applying a new superlinear condition, it is shown that there exists a nontrivial weak solution. Moreover, infinitely many solutions are obtained.
- Noncooperative elliptic systems /
- new superlinear condition
MSC: 35A15, 35G30, 35J57

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References

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