Ground state solutions to nonlinear equations with p-Laplacian
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00108242" target="_blank" >RIV/00216224:14310/19:00108242 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0362546X19300410" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0362546X19300410</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2019.01.032" target="_blank" >10.1016/j.na.2019.01.032</a>
Alternative languages
Result language
angličtina
Original language name
Ground state solutions to nonlinear equations with p-Laplacian
Original language description
We investigate the existence of positive radial solutions for a nonlinear elliptic equation with p-Laplace operator and sign-changing weight, both in superlinear and sublinear case. We prove the existence of solutions u, which are globally defined and positive outside a ball of radius R, satisfy fixed initial conditions u(R) = c > 0, u' (R) = 0 and tend to zero at infinity. Our method is based on a fixed point result for boundary value problems on noncompact intervals and on asymptotic properties of suitable auxiliary half-linear differential equations. The results are new also for the classical Laplace operator and may be used for proving the existence of ground state solutions and decaying solutions with exactly k-zeros which are defined in the whole space. Some examples illustrate our results.
Czech name
—
Czech description
—
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
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
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-THEORY METHODS & APPLICATIONS
ISSN
0362-546X
e-ISSN
—
Volume of the periodical
184
Issue of the periodical within the volume
JUL 2019
Country of publishing house
GB - UNITED KINGDOM
Number of pages
16
Pages from-to
1-16
UT code for WoS article
000465552500001
EID of the result in the Scopus database
2-s2.0-85061558406