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arXiv · 2501.17025

Critical quasilinear Schroedinger equations with electromagnetic fields

Laura Baldelli·Roberta Filippucci·David Krejcirik
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Abstract

The p-Laplace operator in the entire N-dimensional Euclidean space, subject to external electromagnetic potentials, is investigated. In the general case 1<p<N, the existence of at least one solution of mountain pass type to a weighted critical equation is proved. Our technique relies on variational methods and faces a twofold difficulty: double lack of compactness, which requires concentration compactness arguments; and a complex quasilinear framework, which entails appropriate inequalities.

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Laura Baldelli, Roberta Filippucci, David Krejcirik. 2025-01-28. Critical quasilinear Schroedinger equations with electromagnetic fields. https://arxiv.org/abs/2501.17025

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