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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics and computers in simulation

ISSN

0378-4754

e-ISSN

—

Svazek periodika

189

Číslo periodika v rámci svazku

November

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

14

Strana od-do

291-304

Kód UT WoS článku

000683684700020

EID výsledku v databázi Scopus

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