KLI

Positive solutions to classes of infinite semipositone (p, q)-Laplace problems with nonlinear boundary conditions

Metadata Downloads
Abstract
We consider one-dimensional (p, q)-Laplace problems:
?(?(u'))' = λh(t)f(u), t∈ (0, 1),
u(0) =0= au'(1) + g(λ, u(1))u(1),
where λ >0, a ≥0, ?(s) :=|s|^{p?2}s +|s|^{q?2}s, 1 near infinity, we establish the existence, multiplicity and nonexistence of positive solutions. In particular, we provide a sufficient condition on f to obtain a multiplicity result for the case when lims→∞f(s)/s^{r?1}∈(0, ∞), 1 problems (p =q=2). The proofs are based on a Krasnoselskii type fixed point theorem which is fit to overcome a lack of homogeneity.
Author(s)
손병제심인보
Issued Date
2021
Type
Article
Keyword
(pq)-Laplace equationInfinite semipositoneNonlinear boundary conditionPositive solutionExistenceMultiplicity
DOI
10.1016/j.jmaa.2020.124577
URI
https://oak.ulsan.ac.kr/handle/2021.oak/9599
https://ulsan-primo.hosted.exlibrisgroup.com/primo-explore/fulldisplay?docid=TN_cdi_crossref_primary_10_1016_j_jmaa_2020_124577&context=PC&vid=ULSAN&lang=ko_KR&search_scope=default_scope&adaptor=primo_central_multiple_fe&tab=default_tab&query=any,contains,Positive%20solutions%20to%20classes%20of%20infinite%20semipositone%20(p,%20q)-Laplace%20problems%20with%20nonlinear%20boundary%20conditions&offset=0&pcAvailability=true
Publisher
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Location
미국
Language
영어
ISSN
0022-247X
Citation Volume
494
Citation Number
1
Citation Start Page
124577
Citation End Page
124577
Appears in Collections:
Natural Science > Mathematics
Authorize & License
  • Authorize공개
Files in This Item:
  • There are no files associated with this item.

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.