Existence and Uniqueness of Solution to the p-Laplacian Equations Involving Discontinuous Kirchhoff Functions Via A Global Minimum Principle of Ricceri
Minimax theory and its applications, Tome 10 (2025) no. 1
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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.
Mots-clés : Discontinuous Kirchhoff function; Weak solution; Uniqueness; Global minima
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     author = {Yun-Ho Kim},
     title = {Existence and {Uniqueness} of {Solution} to the {p-Laplacian} {Equations} {Involving} {Discontinuous} {Kirchhoff} {Functions} {Via} {A} {Global} {Minimum} {Principle} of {Ricceri}},
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Yun-Ho Kim. Existence and Uniqueness of Solution to the p-Laplacian Equations Involving Discontinuous Kirchhoff Functions Via A Global Minimum Principle of Ricceri. Minimax theory and its applications, Tome 10 (2025) no. 1. http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a2/