On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with  data.

Bonafede, S.; Nicolosi, F.

Displaying similar documents to “On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with $L^{1}$ data.”

Boundary regularity of weak solutions to nonlinear elliptic obstacle problems.

Meng, Junxia, Chu, Yuming (2006)

Boundary Value Problems [electronic only]

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Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems

Arina A. Arkhipova (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.

Existence of solutions for quasilinear elliptic boundary value problems in unbounded domains.

Ouassarah, A.Ait, Hajjaj, A. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points

Jan Malý (1996)

Commentationes Mathematicae Universitatis Carolinae

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Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measure right hand term $μ$ . We estimate $u (z)$ at an interior point $z$ of the domain $Ω$ , or an irregular boundary point $z \in \partial Ω$ , in terms of a norm of $u$ , a nonlinear potential of $μ$ and the Wiener integral of $𝐑^{n} ∖ Ω$ . This quantifies the result on necessity of the Wiener criterion.

Unbounded supersolutions of nonlinear equations with nonstandard growth.

Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)

Boundary Value Problems [electronic only]

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Regularity results for degenerate elliptic systems

Michael Pingen (2008)

Annales de l'I.H.P. Analyse non linéaire

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Displaying similar documents to “On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with L 1 data.”

Boundary regularity of weak solutions to nonlinear elliptic obstacle problems.

Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems

Existence of solutions for quasilinear elliptic boundary value problems in unbounded domains.

Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points

Unbounded supersolutions of nonlinear equations with nonstandard growth.

Regularity results for degenerate elliptic systems

Displaying similar documents to “On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with $L^{1}$ data.”