Weak solutions for elliptic systems with variable growth in Clifford analysis

DOI10.1007/s10587-013-0045-xzbMath1299.30126OpenAlexW2081561636MaRDI QIDQ5408241

Yongqiang Fu, Binlin Zhang

Publication date: 9 April 2014

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143482

zbMATH Keywords

Dirichlet problemelliptic systemClifford analysisvariable exponent

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of hypercomplex variables and generalized variables (30G35) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)

Related Items (8)

Convergence of very weak solutions to \(A\)-Dirac equations in Clifford analysis ⋮ Fundamental solutions for second order elliptic operators in Clifford-type algebras ⋮ Nonlinear parabolic systems in Clifford type analysis ⋮ Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations ⋮ Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions ⋮ The stationary Navier-Stokes equations in variable exponent spaces of Clifford-valued functions ⋮ Existence of stationary states for \(A\)-Dirac equations with variable growth ⋮ On a eigenvalue problem involving Dirac operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Clifford valued weighted variable exponent spaces with an application to obstacle problems
• Nonlinear \(A\)-Dirac equations
• \(p\)-Dirac operators
• Overview of differential equations with non-standard growth
• Functional analysis, Sobolev spaces and partial differential equations
• Weak continuity and weak lower semi-continuity of non-linear functionals
• A selection lemma for sequences of measurable sets, and lower semicontinuity of multiple integrals
• On the existence of weak solutions for a class of elliptic partial differential systems
• Clifford analysis over unbounded domains
• Electrorheological fluids: modeling and mathematical theory
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Weak solution for obstacle problem with variable growth
• Duality for harmonic differential forms via Clifford analysis
• Semicontinuity problems in the calculus of variations
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Weak solutions for elliptic systems with variable growth in Clifford analysis