A Topological Approach to Singular Double-Phase Equations with Variable Exponents
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910032702996480 |
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| 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 |