Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism

DOI10.1080/17476933.2017.1304390zbMath1423.35124arXiv1712.01135OpenAlexW3103526796MaRDI QIDQ5374190

Anouar Bahrouni, Dušan D. Repovš

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01135

zbMATH Keywords

critical point theoryelectromagnetismexistence and nonexistence of solutions\(p(x)\)-curl systems

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Existence of solutions for generalized \(p(x)\)-Laplacian systems ⋮ 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 ⋮ Existence of positive solutions and asymptotic behavior for evolutionary \(q(x)\)-Laplacian equations ⋮ On the \(p(x)\)-curl-system problem with indefinite weight and nonstandard growth conditions ⋮ Double phase problems with variable growth and convection for the Baouendi-Grushin operator ⋮ Existence results for zero mass polyharmonic system ⋮ Nonvariational and singular double phase problems for the Baouendi-Grushin operator ⋮ Estimating the gradient of vector fields via div and curl in variable exponent Sobolev spaces ⋮ Multiple solutions to a class of electromagnetic \(p(x)\)-curl systems ⋮ Existence of two solutions for \(p(x)\)-curl systems with a small perturbation ⋮ Singular double-phase systems with variable growth for the Baouendi-Grushin operator ⋮ On solutions of anisotropic elliptic equations with variable exponent and measure data ⋮ Existence of solutions for systems arising in electromagnetism ⋮ Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight ⋮ GENERALIZED P(X)-ELLIPTIC SYSTEM WITH NONLINEAR PHYSICAL DATA ⋮ Existence of solutions for a nonhomogeneous Dirichlet problem involving \(p(x)\)-Laplacian operator and indefinite weight

Cites Work

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