Generalized noncooperative Schrödinger-Kirchhoff-type systems in $\mathbb{R}^N$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910486838116352 |
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| author | Eddine, N. Chems Repovš, D. D. |
| author_facet | Eddine, N. Chems Repovš, D. D. |
| contents | We consider a class of noncooperative Schrödinger-Kirchhoff type system which involves a general variable exponent elliptic operator with critical growth. Under certain suitable conditions on the nonlinearities, we establish the existence of infinitely many solutions for the problem by using the limit index theory, a version of concentration-compactness principle for weighted-variable exponents Sobolev spaces and the principle of symmetric criticality of Krawcewicz and Marzantowicz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15139 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized noncooperative Schrödinger-Kirchhoff-type systems in $\mathbb{R}^N$ Eddine, N. Chems Repovš, D. D. Analysis of PDEs Functional Analysis 35B20, 35B33, 35D30, 35J50, 35J60, 46E35 We consider a class of noncooperative Schrödinger-Kirchhoff type system which involves a general variable exponent elliptic operator with critical growth. Under certain suitable conditions on the nonlinearities, we establish the existence of infinitely many solutions for the problem by using the limit index theory, a version of concentration-compactness principle for weighted-variable exponents Sobolev spaces and the principle of symmetric criticality of Krawcewicz and Marzantowicz. |
| title | Generalized noncooperative Schrödinger-Kirchhoff-type systems in $\mathbb{R}^N$ |
| topic | Analysis of PDEs Functional Analysis 35B20, 35B33, 35D30, 35J50, 35J60, 46E35 |
| url | https://arxiv.org/abs/2402.15139 |