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Positive Solutions of the A-Laplace Equation with a Potential

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Main Authors: Yongjun, Hou, Yehuda, Pinchover, Antti, Rasila
Format: Book
Language:English
Published: Springer 2023
Subjects:
Agmon-Allegretto-Piepenbrink (AAP) type theorem
Online Access:https://link.springer.com/article/10.1007/s11118-023-10068-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7649
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spelling oai:localhost:PNK-76492023-04-06T07:51:40Z Positive Solutions of the A-Laplace Equation with a Potential Yongjun, Hou Yehuda, Pinchover Antti, Rasila Agmon-Allegretto-Piepenbrink (AAP) type theorem CC BY The main aim of the paper is to extend criticality theory to the operator Q′p,A,V. In particular, we prove an Agmon-Allegretto-Piepenbrink (AAP) type theorem, establish the uniqueness and simplicity of the principal eigenvalue of Q′p,A,V in a domain ω⋐Ω, and give various characterizations of criticality. Furthermore, we also study positive solutions of the equation Q′p,A,V[u]=0 of minimal growth at infinity in Ω, the existence of a minimal positive Green function, and the minimal decay at infinity of Hardy-weights. 2023-04-06T07:51:40Z 2023-04-06T07:51:40Z 2023 Book https://link.springer.com/article/10.1007/s11118-023-10068-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7649 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Agmon-Allegretto-Piepenbrink (AAP) type theorem
spellingShingle Agmon-Allegretto-Piepenbrink (AAP) type theorem
Yongjun, Hou
Yehuda, Pinchover
Antti, Rasila
Positive Solutions of the A-Laplace Equation with a Potential
description CC BY
format Book
author Yongjun, Hou
Yehuda, Pinchover
Antti, Rasila
author_facet Yongjun, Hou
Yehuda, Pinchover
Antti, Rasila
author_sort Yongjun, Hou
title Positive Solutions of the A-Laplace Equation with a Potential
title_short Positive Solutions of the A-Laplace Equation with a Potential
title_full Positive Solutions of the A-Laplace Equation with a Potential
title_fullStr Positive Solutions of the A-Laplace Equation with a Potential
title_full_unstemmed Positive Solutions of the A-Laplace Equation with a Potential
title_sort positive solutions of the a-laplace equation with a potential
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11118-023-10068-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7649
_version_ 1762456095034441728
score 8.893527

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