Regularity of minimizers of some integral functionals with degenerate integrands

DOI10.1016/j.na.2007.03.022zbMath1143.49028OpenAlexW2078456973MaRDI QIDQ943741

S. D'Asero, Francesco Nicolosi, Valentina Cataldo

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.022

zbMATH Keywords

regularity of solutionsweighted functionsMoser methodminima of higher order integral functionals

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60)

Related Items (6)

On the boundedness of minimizers of some integral functionals with degenerate anisotropic integrands ⋮ Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ Improved integrability and boundedness of solutions to some high-order variational problems ⋮ Hölder continuity up to the boundary of minimizers for some integral functionals with degenerate integrands ⋮ On the generalized \(\mathfrak{U}_{m, p}^f\) classes of De Giorgi-ladyzhenskaya-ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials ⋮ Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms

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