Positive Solutions of the A-Laplace Equation with a Potential
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11118-023-10068-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7649 |
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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 |