A new approach to solving a quasilinear boundary value problem with p-Laplacian using optimization

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F23%3A10252618" target="_blank" >RIV/61989100:27240/23:10252618 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.21136/AM.2023.0194-22" target="_blank" >https://link.springer.com/article/10.21136/AM.2023.0194-22</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/AM.2023.0194-22" target="_blank" >10.21136/AM.2023.0194-22</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A new approach to solving a quasilinear boundary value problem with p-Laplacian using optimization

Popis výsledku v původním jazyce

We present a novel approach to solving a specific type of quasilinear boundary value problem with p-Laplacian that can be considered an alternative to the classic approach based on the mountain pass theorem. We introduce a new way of proving the existence of nontrivial weak solutions. We show that the nontrivial solutions of the problem are related to critical points of a certain functional different from the energy functional, and some solutions correspond to its minimum. This idea is new even for p = 2. We present an algorithm based on the introduced theory and apply it to the given problem. The algorithm is illustrated by numerical experiments and compared with the classic approach. (C) 2023, Institute of Mathematics, Czech Academy of Sciences.

Název v anglickém jazyce

A new approach to solving a quasilinear boundary value problem with p-Laplacian using optimization

Popis výsledku anglicky

We present a novel approach to solving a specific type of quasilinear boundary value problem with p-Laplacian that can be considered an alternative to the classic approach based on the mountain pass theorem. We introduce a new way of proving the existence of nontrivial weak solutions. We show that the nontrivial solutions of the problem are related to critical points of a certain functional different from the energy functional, and some solutions correspond to its minimum. This idea is new even for p = 2. We present an algorithm based on the introduced theory and apply it to the given problem. The algorithm is illustrated by numerical experiments and compared with the classic approach. (C) 2023, Institute of Mathematics, Czech Academy of Sciences.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000867" target="_blank" >EF16_019/0000867: Centrum výzkumu pokročilých mechatronických systémů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Applications of Mathematics

ISSN

0862-7940

e-ISSN

1572-9109

Svazek periodika

68

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

15

Strana od-do

425-439

Kód UT WoS článku

001026887800004

EID výsledku v databázi Scopus

2-s2.0-85164273794