Ground states for \(p\)-fractional Choquard-type equations with critical local nonlinearity and doubly critical nonlocality
We consider a \(p\)-fractional Choquard-type equation \[ (-\Delta)_p^s u+a|u|^{p-2}u=b(K\ast F(u))F'(u)+\varepsilon_g |u|^{p_g-2}u \quad\text{in \(\mathbb{R}^N\)}, \] where \(0
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| description | We consider a \(p\)-fractional Choquard-type equation \[ (-\Delta)_p^s u+a|u|^{p-2}u=b(K\ast F(u))F'(u)+\varepsilon_g |u|^{p_g-2}u \quad\text{in \(\mathbb{R}^N\)}, \] where \(0 |
| format | Article |
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It is noteworthy that the local nonlinearity may also have critical growth. Combining Brezis-Nirenberg's method with some new ideas, we obtain the ground state solutions via the mountain pass lemma and a generalized Lions-type theorem.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Ground state ; Nonlinearity</subject><ispartof>arXiv.org, 2023-08</ispartof><rights>2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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It is noteworthy that the local nonlinearity may also have critical growth. 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It is noteworthy that the local nonlinearity may also have critical growth. Combining Brezis-Nirenberg's method with some new ideas, we obtain the ground state solutions via the mountain pass lemma and a generalized Lions-type theorem.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record> |
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| subjects | Ground state Nonlinearity |
| title | Ground states for \(p\)-fractional Choquard-type equations with critical local nonlinearity and doubly critical nonlocality |
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