On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909630889721856 |
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| author | Biswas, Nirjan Gambera, Laura Guarnotta, Umberto |
| author_facet | Biswas, Nirjan Gambera, Laura Guarnotta, Umberto |
| contents | The paper investigates a pivotal condition for the Bobkov-Tanaka type spectrum for double-phase operators. This condition is satisfied if either the weight $w$ driving the double-phase operator is strictly positive in the whole domain or the domain is convex and fulfils a suitable symmetry condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14560 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator Biswas, Nirjan Gambera, Laura Guarnotta, Umberto Analysis of PDEs The paper investigates a pivotal condition for the Bobkov-Tanaka type spectrum for double-phase operators. This condition is satisfied if either the weight $w$ driving the double-phase operator is strictly positive in the whole domain or the domain is convex and fulfils a suitable symmetry condition. |
| title | On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.14560 |