Classification and refined singularity of positive solutions for nonlinear Maxwell equations arising in mesoscopic electromagnetism

DOI10.1016/j.jfa.2013.10.004zbMath1304.35666OpenAlexW2023394922MaRDI QIDQ477026

Gao-Feng Zheng, Yujin Guo

Publication date: 2 December 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.10.004

zbMATH Keywords

classificationpositive solutionsnonlinear Maxwell equationsrefined singularity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Electromagnetic theory (general) (78A25) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (4)

An operator splitting Legendre-tau spectral method for Maxwell's equations with nonlinear conductivity in two dimensions ⋮ Positive singular solutions of a nonlinear Maxwell equation arising in mesoscopic electromagnetism ⋮ Singular behavior of an electrostatic-elastic membrane system with an external pressure ⋮ Existence and asymptotic behavior of solutions for nonlinear Maxwell equations arising in mesoscopic electromagnetism

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