| Title: | Singular $p$-biharmonic problem with the Hardy potential |
|---|
| Authors: | ID Drissi, Amor (Author)
ID Ghanmi, Abdeljabbar (Author)
ID Repovš, Dušan (Author) |
|---|
| Files: |  PDF - Presentation file, download (436,45 KB)
MD5: B2EB6E90753264C3E81D88576880ABF7
 URL - Source URL, visit https://www.journals.vu.lt/nonlinear-analysis/article/view/35410
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
|
|---|
| Abstract: | The aim of this paper is to study existence results for a singular problem involving the $p$-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given to illustrate the importance of these results. |
|---|
| Keywords: | p-biharmonic equation, variational methods, existence of solutions, Hardy potential, Nehari manifold, fibering map |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 01.01.2024 |
|---|
| Year of publishing: | 2024 |
|---|
| Number of pages: | str. 762-782 |
|---|
| Numbering: | Vol. 29, no. 4 |
|---|
| PID: | 20.500.12556/DiRROS-19194  |
|---|
| UDC: | 517.9 |
|---|
| ISSN on article: | 1392-5113 |
|---|
| DOI: | 10.15388/namc.2024.29.35410 |
|---|
| COBISS.SI-ID: | 199996931 |
|---|
| Note: |
|
|---|
| Publication date in DiRROS: | 08.07.2024 |
|---|
| Views: | 387 |
|---|
| Downloads: | 156 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
