Existence and multiplicity of solutions to a class of noncooperative elliptic systems with superlinear nonlinear terms

Xiaofeng  Ke; Chunlei  Tang

Volume 9, Number 4, 2019, Pages 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 Ke,Chunlei Tang

Keywords:Noncooperative elliptic systems, new superlinear condition.

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.

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