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arXiv · 2312.15025

Normalized solutions to Born-Infeld and quasilinear problems

Laura Baldelli·Jarosław Mederski·Alessio Pomponio
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Abstract

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.

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Laura Baldelli, Jarosław Mederski, Alessio Pomponio. 2023-12-22. Normalized solutions to Born-Infeld and quasilinear problems. https://arxiv.org/abs/2312.15025

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