Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43950287" target="_blank" >RIV/49777513:23520/18:43950287 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/67985840:_____/18:00482022 RIV/68407700:21340/18:00317015

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.na.2017.10.004" target="_blank" >http://dx.doi.org/10.1016/j.na.2017.10.004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.na.2017.10.004" target="_blank" >10.1016/j.na.2017.10.004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms

Popis výsledku v původním jazyce

Reaction-diffusion systems satisfying assumptions guaranteeing Turing&apos;s instability and supplemented by unilateral terms of type v- and v+ are studied. Existence of critical points and sometimes also bifurcation of stationary spatially non-homogeneous solutions are proved for rates of diffusions for which it is excluded without any unilateral term. The main tool is a general result giving a variational characterization of the largest eigenvalue for positively homogeneous operators in a Hilbert space satisfying a condition related to potentiality, and existence of bifurcation for equations with such operators. The originally non-variational (non-symmetric) system is reduced to a single equation with a positively homogeneous potential operator and the abstract results mentioned are used.

Název v anglickém jazyce

Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms

Popis výsledku anglicky

Reaction-diffusion systems satisfying assumptions guaranteeing Turing&apos;s instability and supplemented by unilateral terms of type v- and v+ are studied. Existence of critical points and sometimes also bifurcation of stationary spatially non-homogeneous solutions are proved for rates of diffusions for which it is excluded without any unilateral term. The main tool is a general result giving a variational characterization of the largest eigenvalue for positively homogeneous operators in a Hilbert space satisfying a condition related to potentiality, and existence of bifurcation for equations with such operators. The originally non-variational (non-symmetric) system is reduced to a single equation with a positively homogeneous potential operator and the abstract results mentioned are used.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA13-00863S" target="_blank" >GA13-00863S: Semilineární a kvazilineární diferenciální rovnice: existence a násobnost řešení</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Nonlinear Analysis

ISSN

0362-546X

e-ISSN

—

Svazek periodika

166

Číslo periodika v rámci svazku

January

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

27

Strana od-do

154-180

Kód UT WoS článku

000417018000007

EID výsledku v databázi Scopus

2-s2.0-85033483370