A mountain pass algorithm for quasilinear boundary value problem with p-Laplacian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F21%3A10247854" target="_blank" >RIV/61989100:27240/21:10247854 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0378475421000811?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475421000811?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2021.03.006" target="_blank" >10.1016/j.matcom.2021.03.006</a>

Result language
angličtina
Original language name
A mountain pass algorithm for quasilinear boundary value problem with p-Laplacian
Original language description
In this paper, we deal with a specific type of quasilinear boundary value problem with Dirichlet boundary conditions and with p-Laplacian. We show two ways of proving the existence of nontrivial weak solutions. The first one uses the mountain pass theorem, the other one is based on our new minimax theorem. This method is novel even for p = 2. In the paper, we also present a numerical algorithm based on the introduced approach. The suggested algorithm is illustrated on numerical examples and compared with a current approach to demonstrate its efficiency. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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