Everywhere regularity for a class of vectorial functionals under subquadratic general growth conditions.

DOI10.1016/S0022-247X(03)00584-5zbMath1043.49037OpenAlexW2107770747MaRDI QIDQ1417990

Francesco Leonetti, Elvira Mascolo, Francesco Siepe

Publication date: 6 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00584-5

zbMATH Keywords

regularitycalculus of variationsintegral functionaldirect methodsgeneral growth conditionsnonstandard growth conditions

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (12)

Higher differentiability results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions ⋮ Local Lipschitz continuity for energy integrals with slow growth ⋮ Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth ⋮ Local Hölder continuity of weak solutions for an anisotropic elliptic equation ⋮ Partial regularity results for non-autonomous functionals with \(\varPhi \)-growth conditions ⋮ Higher differentiability and existence for a class of problems under \(p, q\) subquadratic growth ⋮ Intrinsic geometry and De Giorgi classes for certain anisotropic problems ⋮ Local boundedness for vector valued minimizers of anisotropic functionals ⋮ On the Lipschitz regularity of minimizers of anisotropic functionals ⋮ Everywhere regularity for vectorial functionals with general growth ⋮ Uniform ellipticity and \((p,q)\) growth ⋮ Nonlinear elliptic systems with general growth

Cites Work

• Remarks on the regularity of the minimizers of certain degenerate functionals
• Regularity for a class of nonlinear elliptic systems
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Higher integrability for minimizers of integral functionals with \((p,q)\) growth
• Full \(C^{1,\alpha}\)-regularity for minimizers of integral functionals with \(L\log L\)-growth
• Regularity results for minimizers of irregular integrals with (p,q) growth
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