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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA18-03253S" target="_blank" >GA18-03253S: Differential equations with special types of nonlinearities</a><br>

Continuities

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

Publication year

2020

Confidentiality

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

Name of the periodical

Electronic Journal of Qualitative Theory of Differential Equations

ISSN

1417-3875

e-ISSN

—

Volume of the periodical

2020

Issue of the periodical within the volume

73

Country of publishing house

HU - HUNGARY

Number of pages

23

Pages from-to

1-23

UT code for WoS article

000601298500001

EID of the result in the Scopus database

2-s2.0-85098334034