Regulaity for minimizers of certain degenerate functionals with non-standard growth conditions

DOI10.1080/03605309108820762zbMath0736.35018OpenAlexW2085108592MaRDI QIDQ4713357

Hi Jun Choe

Publication date: 25 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820762

zbMATH Keywords

minimizersHölder continuity of the derivative

Mathematics Subject Classification ID

Related Items (8)

Sharp regularity for functionals with (\(p\),\(q\)) growth ⋮ Pointwise bounds for minimizers of some anisotropic functionals ⋮ On the boundedness of minimizers of some integral functionals with degenerate anisotropic integrands ⋮ Regularity for minimizers of integrals with nonstandard growth ⋮ Symmetry theorems and uniform rectifiability ⋮ On the Lipschitz regularity of minimizers of anisotropic functionals ⋮ Interior behaviour of minimizers for certain functionals with nonstandard growth ⋮ Higher integrability for minimizers of integral functionals with \((p,q)\) growth

Cites Work

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• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• Remarks on the regularity of the minimizers of certain degenerate functionals
• Regularity for minima of functionals with p-growth
• Regularity for a more general class of quasilinear equations
• Regularity for a class of nonlinear elliptic systems
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations

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