Multiple Weak Solutions of Biharmonic Systems

Authors

  • Lingju Kong and Roger Nichols Author

Keywords:

Biharmonic system, principal eigenvalues, variational methods, multiple weak solutions.

Abstract

We obtain sufficient conditions for the existence of at least three weak solutions of a (p, q)- biharmonic system. We also consider the applications of our main theorem to some special cases of the system. The proof of our main theorem utilizes the variational approaches and a recent theorem of Ricceri on the existence of two global minima of a functional.

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Published

2022-01-05

Issue

Vol. 7 No. 1 (2022): volume 7 issue 1 (2022)

Section

Articles

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How to Cite

Multiple Weak Solutions of Biharmonic Systems. (2022). Minimax Theory and Its Applications, 7(1), 109–118. https://journalmta.com/index.php/jmta/article/view/176