Existence and multiplicity results for a class of non-linear Schr\"odinger equations with magnetic potential involving sign-changing non linearity

In this work we consider the following class of elliptic problems $$- \Delta_A u + u = a(x) |u|^{q-2}u+b(x) |u|^{p-2}u , \mbox{ in } \mathbb{R}^N, $$ $u\in H^1_A (\mathbb{R}^N)$, with $2

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Hauptverfasser: de Paiva, Francisco Odair Vieira, Lima, Sandra Machado de Souza, Miyagaki, Olimpio Hiroshi
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Sprache:eng
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Zusammenfassung:In this work we consider the following class of elliptic problems $$- \Delta_A u + u = a(x) |u|^{q-2}u+b(x) |u|^{p-2}u , \mbox{ in } \mathbb{R}^N, $$ $u\in H^1_A (\mathbb{R}^N)$, with $2
DOI:10.48550/arxiv.1904.06382