On some multiple solutions for a $p(x)$-Laplace equation with supercritical growth
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916397267812352 |
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| author | Zhao, Lin |
| author_facet | Zhao, Lin |
| contents | We consider the multiplicity of solutions for the $p(x)$-Laplacian problems involving the supercritical Sobolev growth via Ricceri's principle. By means of the truncation combining with De Giorgi iteration, we can extend the result about subcritical and critical growth to the supercritical growth and obtain at least three solutions for the $p(x)$ Laplacian problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10984 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On some multiple solutions for a $p(x)$-Laplace equation with supercritical growth Zhao, Lin Analysis of PDEs Functional Analysis 35J70, 35B45, 35J62 We consider the multiplicity of solutions for the $p(x)$-Laplacian problems involving the supercritical Sobolev growth via Ricceri's principle. By means of the truncation combining with De Giorgi iteration, we can extend the result about subcritical and critical growth to the supercritical growth and obtain at least three solutions for the $p(x)$ Laplacian problem. |
| title | On some multiple solutions for a $p(x)$-Laplace equation with supercritical growth |
| topic | Analysis of PDEs Functional Analysis 35J70, 35B45, 35J62 |
| url | https://arxiv.org/abs/2409.10984 |