Existence of stationary states for \(A\)-Dirac equations with variable growth

DOI10.1007/s00006-014-0512-yzbMath1318.81020OpenAlexW2055811957MaRDI QIDQ2353178

Giovanni Molica Bisci, Binlin Zhang, Vicenţiu D. Rădulescu

Publication date: 8 July 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-014-0512-y

zbMATH Keywords

Clifford analysisCaccioppoli estimatesvariable exponentHodge-type decomposition\(A\)-Dirac equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Clifford algebras, spinors (15A66) Weak solutions to PDEs (35D30) Variational principles of physics (49S05)

Related Items (7)

Convergence of very weak solutions to \(A\)-Dirac equations in Clifford analysis ⋮ On weak solutions to Dirac-harmonic equations for differential forms ⋮ Variational integral and some inequalities of a class of quasilinear elliptic system ⋮ Ground state solutions and multiple solutions for ap(x)-Laplacian equation in with periodic data ⋮ Dirichlet type problems for Dunkl-Poisson equations ⋮ Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions ⋮ Existence and multiplicity of solutions for \(p(x)\)-curl systems arising in electromagnetism

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