On the summability of entropy solutions for the Dirichlet problem in a class of non-linear elliptic fourth-order equations

DOI10.1070/IM2003v067n05ABEH000450zbMath1210.35067MaRDI QIDQ4674610

Alexander A. Kovalevsky

Publication date: 17 May 2005

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

entropy solutionnonlinear elliptic equationwear solution

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60)

Related Items (8)

Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ Regularity for entropy solutions to degenerate elliptic equations ⋮ Regularity for entropy solutions to degenerate elliptic equations with a convection term ⋮ Gradient estimates for entropy solutions to elliptic equations with degenerate coercivity ⋮ Global integrability for solutions to quasilinear elliptic systems ⋮ On limit summability of solutions for a class of degenerate nonlinear high-order equations withL¹-data ⋮ Global regularity for minimizers of some anisotropic variational integrals ⋮ On improvement of summability properties of solutions of some degenerate nonlinear fourth-order equations

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