|
|||||
 |
|
|
|
|
|
|
Multiple weak solutions
for a class of quasilinear elliptic operators under the Robin
boundary condition containing the $p(\cdot)$-Laplacian and
the mean curvature operator
Junichi Aramaki |
|
Vol. 8 (2026), No. 2, 367–384
|
Abstract |
|
We consider the equation for a class of quasilinear elliptic operators containing -Laplacian and mean curvature operator with the Robin boundary condition in a bounded domain of . Under the hypothesis with the variable exponent in , we show the existence of two or three weak solutions of the equation according to some conditions on given functions. Our strategies are using a variant of Ricceri’s variational principle obtained by Fan and Deng and using a mountain pass lemma by Willem without the (PS) condition. |
PDF Access Denied
We have not been able to recognize your IP address
216.73.216.105
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
$p(\cdot)$-Laplacian type operator, mean curvature
operator, Robin boundary value problem, variable exponent
Sobolev space
|
Mathematical Subject Classification
Primary: 35A01, 35D30
Secondary: 35J57, 35J62, 35J66
|
Milestones
Received: 2 June 2025
Revised: 5 December 2025
Accepted: 4 March 2026
Published: 9 April 2026
|
Authors |
| Junichi Aramaki | |
| Faculty of Science and
Engineering Tokyo Denki University Hatoyama Japan |
|
| © 2026 MSP (Mathematical Sciences Publishers). |
