@Article{ATA-41-140, author = {Aramaki , Junichi}, title = {On Stationary $p(ยท)$-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} }