Normalized solutions to Born-Infeld and quasilinear problems
| Autor: | Baldelli, Laura, Mederski, Jarosław, Pomponio, Alessio |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The paper concerns the existence of normalized solutions to a large class of quasilinear problems, including the well-known Born-Infeld operator. In the mass subcritical cases, we study a global minimization problem and obtain a ground state solution for a $(2,q)$-type operator which implies the existence of solutions to the Born-Infeld problem. We also deal with the mass critical and mass supercritical cases for quasilinear problems involving the $(2,q)$-type operator. |
| Databáze: | arXiv |
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