A Topological Approach to Singular Double-Phase Equations with Variable Exponents
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910032702996480 |
|---|---|
| author | Avci, Mustafa |
| author_facet | Avci, Mustafa |
| contents | In the present paper, we study a singular double phase variable exponent Dirichlet problem in the setting of a new Musielak-Orlicz Sobolev space with the nonlinearity (the external source) having gradient dependence (so-called convection terms). We apply a topological existence result incorporating the Leray-Schauder degree and homotopy mapping together to prove the existence of at least one nontrivial solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21576 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Topological Approach to Singular Double-Phase Equations with Variable Exponents Avci, Mustafa Analysis of PDEs 35A01, 35A16, 35D30, 35J75 In the present paper, we study a singular double phase variable exponent Dirichlet problem in the setting of a new Musielak-Orlicz Sobolev space with the nonlinearity (the external source) having gradient dependence (so-called convection terms). We apply a topological existence result incorporating the Leray-Schauder degree and homotopy mapping together to prove the existence of at least one nontrivial solution. |
| title | A Topological Approach to Singular Double-Phase Equations with Variable Exponents |
| topic | Analysis of PDEs 35A01, 35A16, 35D30, 35J75 |
| url | https://arxiv.org/abs/2602.21576 |