Year: 2023
Author: Junichi Aramaki
Communications in Mathematical Research , Vol. 39 (2023), Iss. 4 : pp. 539–574
Abstract
In this paper, we consider a mixed boundary value problem for the stationary Kirchhoff-type equation containing $p(·)$-Laplacian. More precisely, we are concerned with the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of at least one, two or infinitely many nontrivial weak solutions according to hypotheses on given functions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2023-0017
Communications in Mathematical Research , Vol. 39 (2023), Iss. 4 : pp. 539–574
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 36
Keywords: Kirchhoff-type problem mixed boundary value problem $p(·)$-Laplacian type equation weak solutions.