On the boundedness of generalized solutions of higher-order nonlinear elliptic equations with data from an Orlicz-Zygmund class

DOI10.1134/S0001434616050229zbMath1352.35030OpenAlexW2468877798MaRDI QIDQ325545

Mohammad Hasan, M. Dambrine

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616050229

zbMATH Keywords

Sobolev spacegeneralized solutionOrlicz-Zygmund spacequasilinear divergence equation

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Quasilinear elliptic equations (35J62)

Related Items (2)

Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ 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

Cites Work

• Regularity properties of solutions of elliptic equations in \(\mathbb{R}^ 2\) in limit cases
• Continuity properties of minimizers of integral functionals in a limit case
• Existence of bounded solutions for a class of nonlinear fourth-order equations
• On the improvement of summability of generalized solutions of the Dirichlet problem for nonlinear equations of the fourth order with strengthened ellipticity
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