On Stationary $p(·)$-Kirchhoff-Type Problem with Mixed Boundary Conditions
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@Article{ATA-41-140,
author = {Aramaki , Junichi},
title = {On Stationary $p(·)$-Kirchhoff-Type Problem with Mixed Boundary Conditions},
journal = {Analysis in Theory and Applications},
year = {2025},
volume = {41},
number = {2},
pages = {140--171},
abstract = {
In this paper, we consider the stationary Kirchhoff-type equation with mixed boundary conditions in a variable exponent Sobolev space. We show the existence of a weak solution. Moreover, we prove the existence of a non-trivial weak solution and infinitely many weak solutions under some hypotheses by variational methods.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2022-0010}, url = {http://global-sci.org/intro/article_detail/ata/24280.html} }
TY - JOUR
T1 - On Stationary $p(·)$-Kirchhoff-Type Problem with Mixed Boundary Conditions
AU - Aramaki , Junichi
JO - Analysis in Theory and Applications
VL - 2
SP - 140
EP - 171
PY - 2025
DA - 2025/07
SN - 41
DO - http://doi.org/10.4208/ata.OA-2022-0010
UR - https://global-sci.org/intro/article_detail/ata/24280.html
KW - Mixed boundary value problem, $p(·)$-Kirchhoff-type problem, existence of a weak solution, variational methods.
AB -
In this paper, we consider the stationary Kirchhoff-type equation with mixed boundary conditions in a variable exponent Sobolev space. We show the existence of a weak solution. Moreover, we prove the existence of a non-trivial weak solution and infinitely many weak solutions under some hypotheses by variational methods.
Aramaki , Junichi. (2025). On Stationary $p(·)$-Kirchhoff-Type Problem with Mixed Boundary Conditions.
Analysis in Theory and Applications. 41 (2).
140-171.
doi:10.4208/ata.OA-2022-0010
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