Journal
ACTA APPLICANDAE MATHEMATICAE
Volume 165, Issue 1, Pages 1-17Publisher
SPRINGER
DOI: 10.1007/s10440-019-00237-5
Keywords
Non-cooperative elliptic system; Kirchhoff type problem; p-Biharmonic operator; Critical exponents; Concentration compactness principle; Limit index theory
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Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02.2017.04]
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In this paper, we consider a class of non-cooperative elliptic systems of Kirchhoff type involving p-biharmonic operator and critical growth. With the help of the Limit index theory due to Li (Nonlinear Anal. TMA 30(7):4619-4627, 1997) and the concentration compactness principle, we establish the existence of infinitely many solutions for the problem under the suitable conditions on the nonlinearity.
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