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
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
@article{MTA_2025_10_1_a2,
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}},
journal = {Minimax theory and its applications},
year = {2025},
volume = {10},
number = {1},
url = {http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a2/}
}
TY - JOUR AU - Yun-Ho Kim TI - Existence and Uniqueness of Solution to the p-Laplacian Equations Involving Discontinuous Kirchhoff Functions Via A Global Minimum Principle of Ricceri JO - Minimax theory and its applications PY - 2025 VL - 10 IS - 1 UR - http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a2/ ID - MTA_2025_10_1_a2 ER -
%0 Journal Article %A Yun-Ho Kim %T Existence and Uniqueness of Solution to the p-Laplacian Equations Involving Discontinuous Kirchhoff Functions Via A Global Minimum Principle of Ricceri %J Minimax theory and its applications %D 2025 %V 10 %N 1 %U http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a2/ %F MTA_2025_10_1_a2
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/