Geodesic
On Nonnegative Solutions of Quasilinear Equations with Oscillating Nonlinearity in RN
Minimax theory and its applications, Tome 10 (2025) no. 1
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In this paper, it is obtained the existence and multiplicity of solutions for a class of quasilinear problems with an oscillating nonlinearity satisfying an area condition. The approach consists in introducing an auxiliary semilinear problem through a suitable change of variables which is equivalent to the original one, and solve it by means of the Schaefer’s Fixed Point Theorem, sub-supersolutions and minimax results
Mots-clés : Comparison principles, Variational methods, Nonlinear elliptic equations 
@article{MTA_2025_10_1_a7,
     author = {Francisco Julio S. A. Corr\^ea and Al\^annio Barbosa N\'obrega and Leandro S. Tavares},
     title = {On {Nonnegative} {Solutions} of {Quasilinear} {Equations} with {Oscillating} {Nonlinearity} in {RN}},
     journal = {Minimax theory and its applications},
     year = {2025},
     volume = {10},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a7/}
}
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Francisco Julio S. A. Corrêa; Alânnio Barbosa Nóbrega; Leandro S. Tavares. On Nonnegative Solutions of Quasilinear Equations with Oscillating Nonlinearity in RN. Minimax theory and its applications, Tome 10 (2025) no. 1. http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a7/