| Title: | On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data |
|---|
| Authors: | ID Sahu, Subhashree (Author)
ID Choudhuri, Debajyoti (Author)
ID Repovš, Dušan (Author) |
|---|
| Files: |  PDF - Presentation file, download (225,88 KB)
MD5: 12C346032990F9BE0E8F747E8287EF11
 URL - Source URL, visit https://journals.sagepub.com/doi/full/10.3233/ASY-241945
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
|
|---|
| Abstract: | The article is about an elliptic problem defined on a stratified Lie group. Both sub and superlinear cases are considered whose solutions are guaranteed to exist in light of the interplay between the nonlinearities and the weak $L^1$ datum. The existence of infinitely many solutions is proved for suitable values of $\lambda$, $p$, $q$ by using the Symmetric Mountain Pass Theorem. |
|---|
| Keywords: | stratified Lie groups, subelliptic operators, Marcinkiewicz space, singular problem |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 01.07.2025 |
|---|
| Year of publishing: | 2025 |
|---|
| Number of pages: | str. 953-967 |
|---|
| Numbering: | Vol. 143, iss. 4 |
|---|
| PID: | 20.500.12556/DiRROS-23329  |
|---|
| UDC: | 517.9 |
|---|
| ISSN on article: | 0921-7134 |
|---|
| DOI: | 10.3233/ASY-241945 |
|---|
| COBISS.SI-ID: | 210457603 |
|---|
| Note: |
|
|---|
| Publication date in DiRROS: | 19.08.2025 |
|---|
| Views: | 268 |
|---|
| Downloads: | 160 |
|---|
| 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. |
