Regularity results for quasiminima of functionals with non-polynomial growth

DOI10.1016/0022-247X(92)90175-DzbMath0768.49017MaRDI QIDQ1206869

Gioconda Moscariello

Publication date: 1 April 1993

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

zbMATH Keywords

Harnack inequalitycalculus of variationsCarathéodory function\(Q\)-quasiminimum

Mathematics Subject Classification ID

Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (7)

Long-time behaviour of solutions to an evolution PDE with nonstandard growth ⋮ Pointwise estimates of solutions to the double-phase elliptic equations ⋮ Harnack inequality for minimizers of integral functionals with general growth conditions ⋮ On the Lipschitz regularity of minimizers of anisotropic functionals ⋮ Local continuity and Harnack's inequality for double-phase parabolic equations ⋮ On very weak entire solutions on nonlinear partial differential equations ⋮ Minima of quasisuperminimizers

Cites Work

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• Local boundedness of minimizers in a limit case
• Quasi-minima
• Harnack inequalities for quasi-minima of variational integrals
• Growth conditions and regularity. A counterexample
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Hölder continuity of minimizers of functionals with non standard growth conditions
• Linear and quasilinear elliptic equations
• Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions

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