Quasilinear Schrödinger equations with singular and vanishing potentials involving nonlinearities with critical exponential growth

DOI10.12775/TMNA.2020.024zbMath1479.35259OpenAlexW3127688675WikidataQ115516314 ScholiaQ115516314MaRDI QIDQ2236479

Rodrigo Clemente, Gilson Carvalho, Yane Lísley Araújo

Publication date: 25 October 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.024

zbMATH Keywords

nonexistencevariational methodsquasilinear Schrödinger equationexistence of a grund state solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Nonlinear Schrödinger equations involving exponential critical growth with unbounded or vanishing potentials ⋮ Quasilinear Schrödinger equations with unbounded or decaying potentials in dimension 2 ⋮ Quasilinear equation with critical exponential growth in the zero mass case ⋮ On a quasilinear logarithmic \(N\)-dimensional equation involving exponential growth

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