AN EXISTENCE RESULT FOR ANISOTROPIC QUASILINEAR PROBLEMS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43961769" target="_blank" >RIV/49777513:23520/22:43961769 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S1468121821000572" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1468121821000572</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2021.103345" target="_blank" >10.1016/j.nonrwa.2021.103345</a>
Alternative languages
Result language
angličtina
Original language name
AN EXISTENCE RESULT FOR ANISOTROPIC QUASILINEAR PROBLEMS
Original language description
We study existence of solutions for a boundary degenerate (or singular) quasilinear equation in a smooth bounded domain under Dirichlet boundary conditions. We consider a weighted p−Laplacian operator with a coefficient that is locally bounded inside the domain and satisfying certain additional integrability assumptions. Our main result applies for boundary value problems involving continuous non-linearities having no growth restriction, but provided the existence of a sub and a supersolution is guaranteed. As an application, we present an existence result for a boundary value problem with a non-linearity f(u) satisfying f(0) ≤ 0 and having (p − 1)−sublinear growth at infinity.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN
1468-1218
e-ISSN
1878-5719
Volume of the periodical
65
Issue of the periodical within the volume
JUN 2022
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
28
Pages from-to
nestrankovano
UT code for WoS article
000795544200010
EID of the result in the Scopus database
2-s2.0-85105302238