Existence of Solutions of Some Degenerate Nonlinear Elliptic Fourth-order Equations with L 1 -data

DOI10.1080/0003681021000004492zbMath1127.35009OpenAlexW2012566450WikidataQ58247569 ScholiaQ58247569MaRDI QIDQ4782629

Francesco Nicolosi, Alexander A. Kovalevsky

Publication date: 2 December 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681021000004492

zbMATH Keywords

Dirichlet problemExistence of SolutionsDegenerate nonlinear elliptic fourth-order equations with \(L^1\)-data

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (7)

On the sets of boundedness of solutions for a class of degenerate nonlinear elliptic fourth-order equations with \(L ^{1}\)-data ⋮ The local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations withL¹-data ⋮ Elliptic equations of higher-order in weighted Sobolev spaces ⋮ On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with \(L^1\) data ⋮ Summability of solutions of some degenerate nonlinear elliptic fourth-order equations ⋮ On the sets of \(L^\infty \)-regularity of solutions for a class of degenerate nonlinear problems with slightly regular data ⋮ On improvement of summability properties of solutions of some degenerate nonlinear fourth-order equations

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