Existence and multiplicity of solutions for \(p(x)\)-curl systems arising in electromagnetism
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Publication:730246
DOI10.1016/J.JMAA.2016.11.086zbMath1358.35181OpenAlexW2557365262MaRDI QIDQ730246
Mingqi Xiang, Fuliang Wang, Binlin Zhang
Publication date: 23 December 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.086
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Variational methods applied to problems in optics and electromagnetic theory (78M30)
Related Items (10)
Existence and multiplicity of solutions for \(p(x)\)-curl systems without the Ambrosetti-Rabinowitz condition ⋮ Properties of a quasi-uniformly monotone operator and its application to the electromagnetic \(p\)-curl systems. ⋮ Multiple solutions for p(x)${p(x)}$‐curl systems with nonlinear boundary condition ⋮ On the \(p(x)\)-curl-system problem with indefinite weight and nonstandard growth conditions ⋮ Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism ⋮ Existence of renormalized solutions for some quasilinear elliptic Neumann problems ⋮ Multiple solutions to a class of electromagnetic \(p(x)\)-curl systems ⋮ Existence of two solutions for \(p(x)\)-curl systems with a small perturbation ⋮ Existence of solutions for systems arising in electromagnetism ⋮ The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions
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