Rayleigh quotients of the level set manifolds related to the nonlinear PDE
Minimax theory and its applications, Tome 7 (2022) no. 2
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The main topic of this note is a discussion of applicability conditions of the Nehari manifold method depending on the value of parameters of equations. As the main tool, we apply the nonlinear generalized Rayleigh quotient method.
Mots-clés : Nehari manifold, NG-Rayleigh quotient, energy level set, zero frequency problem
@article{MTA_2022_7_2_a4,
     author = {Yavdat Il{\textquoteright}yasov},
     title = {Rayleigh quotients of the level set manifolds related to the nonlinear {PDE}},
     journal = {Minimax theory and its applications},
     year = {2022},
     volume = {7},
     number = {2},
     zbl = {1490.35191},
     url = {http://geodesic.mathdoc.fr/item/MTA_2022_7_2_a4/}
}
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Yavdat Il’yasov. Rayleigh quotients of the level set manifolds related to the nonlinear PDE. Minimax theory and its applications, Tome 7 (2022) no. 2. http://geodesic.mathdoc.fr/item/MTA_2022_7_2_a4/