Influence of singular weights on the asymptotic behavior of positive solutions for classes of quasilinear equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43960506" target="_blank" >RIV/49777513:23520/20:43960506 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8942" target="_blank" >http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8942</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14232/ejqtde.2020.1.73" target="_blank" >10.14232/ejqtde.2020.1.73</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Influence of singular weights on the asymptotic behavior of positive solutions for classes of quasilinear equations

Popis výsledku v původním jazyce

Main objective of this paper is to study positive decaying solutions for a class of quasilinear problems with weights. We consider one dimensional problems on an interval which may be finite or infinite. In particular, when the interval is infinite, unlike the known cases in the history where constant weights force the solution not to decay, we discuss singular weights in the diffusion and reaction terms which produce positive solutions that decay to zero at infinity. We also discuss singular weights that lead to positive solutions not satisfying Hopf’s boundary lemma. Further, we apply our results to radially symmetric solutions to classes of problems in higher dimensions, say in an annular domain or in the exterior region of a ball. Finally, we provide examples to illustrate our results.

Název v anglickém jazyce

Influence of singular weights on the asymptotic behavior of positive solutions for classes of quasilinear equations

Popis výsledku anglicky

Main objective of this paper is to study positive decaying solutions for a class of quasilinear problems with weights. We consider one dimensional problems on an interval which may be finite or infinite. In particular, when the interval is infinite, unlike the known cases in the history where constant weights force the solution not to decay, we discuss singular weights in the diffusion and reaction terms which produce positive solutions that decay to zero at infinity. We also discuss singular weights that lead to positive solutions not satisfying Hopf’s boundary lemma. Further, we apply our results to radially symmetric solutions to classes of problems in higher dimensions, say in an annular domain or in the exterior region of a ball. Finally, we provide examples to illustrate our results.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA18-03253S" target="_blank" >GA18-03253S: Diferenciální rovnice se speciálními typy nelinearit</a><br>

Návaznosti

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

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Electronic Journal of Qualitative Theory of Differential Equations

ISSN

1417-3875

e-ISSN

—

Svazek periodika

2020

Číslo periodika v rámci svazku

73

Stát vydavatele periodika

HU - Maďarsko

Počet stran výsledku

23

Strana od-do

1-23

Kód UT WoS článku

000601298500001

EID výsledku v databázi Scopus

2-s2.0-85098334034