Partial regularity for non autonomous functionals with non standard growth conditions

DOI10.1007/s00526-009-0293-7zbMath1195.35135OpenAlexW2035601871MaRDI QIDQ982176

Antonia Passarelli Di Napoli, Bruno de Maria

Publication date: 6 July 2010

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-009-0293-7

zbMATH Keywords

partial regularitynonautonomous integral functional

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods for elliptic systems (35J50) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (14)

A \(C^{1,\alpha}\) partial regularity result for integral functionals with \(p(x)\)-growth condition ⋮ Regularity results for non-autonomous functionals with \(L\log {L}\)-growth and Orlicz Sobolev coefficients ⋮ Partial regularity results for non-autonomous functionals with \(\varPhi \)-growth conditions ⋮ A new partial regularity result for non-autonomous convex integrals with non-standard growth conditions ⋮ Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth ⋮ Regularity results for non-autonomous variational integrals with discontinuous coefficients ⋮ Regularity for non-autonomous functionals with almost linear growth ⋮ Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\) ⋮ Local boundedness of solutions to quasilinear elliptic systems ⋮ Higher differentiability for \(n\)-harmonic systems with Sobolev coefficients ⋮ Partial regularity for non autonomous functionals with non standard growth conditions ⋮ A trace preserving operator and applications ⋮ Higher differentiability of minimizers of variational integrals with variable exponents ⋮ RETRACTED: ``A \(C^{1,\alpha}\) partial regularity result for non-autonomous convex integrals with discontinuous coefficients

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