Existence and Uniqueness of Solution to the p-Laplacian Equations Involving Discontinuous Kirchhoff Functions Via A Global Minimum Principle of Ricceri

Authors

  • Yun-Ho Kim Author

Keywords:

Discontinuous Kirchhoff function; Weak solution; Uniqueness; Global minima

Abstract

The aim of this paper is to establish the existence and uniqueness of solutions to the p-Laplacian problems with discontinuous Kirchhoff coefficients using a global minimum principle as its main tool. In particular, we apply the Dὶaz-Saa inequality to observe the uniqueness of a positive weak solution to Brézis-Oswald type problem involving the p-Laplacian.

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Published

2025-01-28

How to Cite

Existence and Uniqueness of Solution to the p-Laplacian Equations Involving Discontinuous Kirchhoff Functions Via A Global Minimum Principle of Ricceri. (2025). Minimax Theory and Its Applications, 10(1), 34–42. https://journalmta.com/index.php/jmta/article/view/185