Weak differentiability for solutions to nonlinear elliptic systems with \(p,q\)-growth conditions

DOI10.1007/BF01760015zbMath0801.35023OpenAlexW2024092784MaRDI QIDQ1210167

Francesco Leonetti

Publication date: 16 May 1993

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01760015

zbMATH Keywords

local regularity\(p,q\)-growth conditions

Mathematics Subject Classification ID

Related Items (11)

Pointwise bounds for minimizers of some anisotropic functionals ⋮ Symmetrization in Anisotropic Elliptic Problems ⋮ Existence and regularity results for weak solutions to \((p,q)\)-elliptic systems in divergence form ⋮ Existence of weak solutions for elliptic systems with p,q-growth ⋮ Absence of Lavrentiev gap for non-autonomous functionals with \((p,q)\)-growth ⋮ Regularity for minimizers of integrals with nonstandard growth ⋮ Comparison estimates in anisotropic variational problems ⋮ Higher integrability for minimizers of integral functionals with \((p,q)\) growth ⋮ Boundedness of Solutions to Anisotropic Variational Problems ⋮ Local boundedness of minimizers of anisotropic functionals ⋮ A priori estimates for solutions to anisotropic elliptic problems via symmetrization

Cites Work

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• Boundedness of minimizers
• Growth conditions and regularity. A counterexample
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Remarks on strongly elliptic partial differential equations
• Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

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