On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 33-49
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We study a class of logarithmic fractional Schrödinger equations with possibly vanishing potentials. By using the fibrering maps and the Nehari manifold we obtain the existence of at least one nontrivial solution.
DOI :
10.21136/MB.2021.0143-19
Classification :
35J60, 47J30
Keywords: Nehari manifold; fibrering maps; vanishing potential; logarithmic nonlinearity
Keywords: Nehari manifold; fibrering maps; vanishing potential; logarithmic nonlinearity
@article{10_21136_MB_2021_0143_19,
author = {Le, Cong Nhan and Le, Xuan Truong},
title = {On the {Nehari} manifold for a logarithmic fractional {Schr\"odinger} equation with possibly vanishing potentials},
journal = {Mathematica Bohemica},
pages = {33--49},
publisher = {mathdoc},
volume = {147},
number = {1},
year = {2022},
doi = {10.21136/MB.2021.0143-19},
mrnumber = {4387467},
zbl = {07547240},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0143-19/}
}
TY - JOUR AU - Le, Cong Nhan AU - Le, Xuan Truong TI - On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials JO - Mathematica Bohemica PY - 2022 SP - 33 EP - 49 VL - 147 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0143-19/ DO - 10.21136/MB.2021.0143-19 LA - en ID - 10_21136_MB_2021_0143_19 ER -
%0 Journal Article %A Le, Cong Nhan %A Le, Xuan Truong %T On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials %J Mathematica Bohemica %D 2022 %P 33-49 %V 147 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0143-19/ %R 10.21136/MB.2021.0143-19 %G en %F 10_21136_MB_2021_0143_19
Le, Cong Nhan; Le, Xuan Truong. On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 33-49. doi: 10.21136/MB.2021.0143-19
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