Entire radial bounded solutions for Leray-Lions equations of (p, q)-type
We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type. For this, we need an extension of related results by Boccardo-Murat-Puel and a variational approach in intersections...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-02-01
|
| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2024-0028 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849738450441338880 |
|---|---|
| author | Mennuni Federica Mugnai Dimitri Salvatore Addolorata |
| author_facet | Mennuni Federica Mugnai Dimitri Salvatore Addolorata |
| author_sort | Mennuni Federica |
| collection | DOAJ |
| description | We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type. For this, we need an extension of related results by Boccardo-Murat-Puel and a variational approach in intersections of Banach spaces introduced by Candela-Palmieri. |
| format | Article |
| id | doaj-art-f66b9c75662343fbb52aa5d24d4d84a1 |
| institution | DOAJ |
| issn | 2191-950X |
| language | English |
| publishDate | 2025-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj-art-f66b9c75662343fbb52aa5d24d4d84a12025-08-20T03:06:35ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2025-02-0114124927410.1515/anona-2024-0028Entire radial bounded solutions for Leray-Lions equations of (p, q)-typeMennuni Federica0Mugnai Dimitri1Salvatore Addolorata2Dipartimento di Matematica, Università di Bologna, Via Zamboni, 33, 40126 Bologna, ItalyDipartimento di Scienze Ecologiche e Biologiche, Università degli Studi della Tuscia, Largo dell’Università, 01100 Viterbo, ItalyDipartimento di Matematica, Università degli Studi di Bari Aldo Moro, Via E. Orabona 4, 70125 Bari, ItalyWe prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type. For this, we need an extension of related results by Boccardo-Murat-Puel and a variational approach in intersections of Banach spaces introduced by Candela-Palmieri.https://doi.org/10.1515/anona-2024-0028(p, q)-laplacianquasilinear elliptic equationradial bounded solutionweak cerami-palais-smale condition35j2035j6258e30 |
| spellingShingle | Mennuni Federica Mugnai Dimitri Salvatore Addolorata Entire radial bounded solutions for Leray-Lions equations of (p, q)-type Advances in Nonlinear Analysis (p, q)-laplacian quasilinear elliptic equation radial bounded solution weak cerami-palais-smale condition 35j20 35j62 58e30 |
| title | Entire radial bounded solutions for Leray-Lions equations of (p, q)-type |
| title_full | Entire radial bounded solutions for Leray-Lions equations of (p, q)-type |
| title_fullStr | Entire radial bounded solutions for Leray-Lions equations of (p, q)-type |
| title_full_unstemmed | Entire radial bounded solutions for Leray-Lions equations of (p, q)-type |
| title_short | Entire radial bounded solutions for Leray-Lions equations of (p, q)-type |
| title_sort | entire radial bounded solutions for leray lions equations of p q type |
| topic | (p, q)-laplacian quasilinear elliptic equation radial bounded solution weak cerami-palais-smale condition 35j20 35j62 58e30 |
| url | https://doi.org/10.1515/anona-2024-0028 |
| work_keys_str_mv | AT mennunifederica entireradialboundedsolutionsforleraylionsequationsofpqtype AT mugnaidimitri entireradialboundedsolutionsforleraylionsequationsofpqtype AT salvatoreaddolorata entireradialboundedsolutionsforleraylionsequationsofpqtype |