On critical double phase problems in $\mathbb{R}^N$ involving variable exponents
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911987195183104 |
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| author | Ha, Hoang Hai Ho, Ky |
| author_facet | Ha, Hoang Hai Ho, Ky |
| contents | We establish a Lions-type concentration-compactness principle and its variant at infinity for Musielak-Orlicz-Sobolev spaces associated with a double phase operator with variable exponents. Based on these principles, we demonstrate the existence and concentration of solutions for a class of critical double phase equations of Schrödinger type in $\mathbb{R}^N$ involving variable exponents with various types of potentials. Our growth condition is more appropriately suited compared to the existing works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11774 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On critical double phase problems in $\mathbb{R}^N$ involving variable exponents Ha, Hoang Hai Ho, Ky Analysis of PDEs 35J20, 35J60, 35J70, 47J10, 46E35 We establish a Lions-type concentration-compactness principle and its variant at infinity for Musielak-Orlicz-Sobolev spaces associated with a double phase operator with variable exponents. Based on these principles, we demonstrate the existence and concentration of solutions for a class of critical double phase equations of Schrödinger type in $\mathbb{R}^N$ involving variable exponents with various types of potentials. Our growth condition is more appropriately suited compared to the existing works. |
| title | On critical double phase problems in $\mathbb{R}^N$ involving variable exponents |
| topic | Analysis of PDEs 35J20, 35J60, 35J70, 47J10, 46E35 |
| url | https://arxiv.org/abs/2405.11774 |