Very weak solutions of nonlinear subelliptic equations.

Zatorska-Goldstein, Anna

Displaying similar documents to “Very weak solutions of nonlinear subelliptic equations.”

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 a class of obstacle problems

Michela Eleuteri (2007)

Applications of Mathematics

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We prove some optimal regularity results for minimizers of the integral functional $\int f (x, u, D u) d x$ belonging to the class $K : = {u \in W^{1, p} (Ω) u \geq ψ}$ , where $ψ$ is a fixed function, under standard growth conditions of $p$ -type, i.e. $L^{- 1} {| z |}^{p} \leq f (x, s, z) \leq {L (1 + | z |}^{p}) .$

On Lebesgue points of functions in the Sobolev class $W^{1, n}$ .

Latvala, Visa (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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Partial continuity for elliptic problems

Mikil Foss, Giuseppe Mingione (2008)

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

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Weighted decomposition estimates for differential forms.

Wang, Yong, Li, Guanfeng (2010)

Journal of Inequalities and Applications [electronic only]

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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.

Displaying similar documents to “Very weak solutions of nonlinear subelliptic equations.”

Unbounded supersolutions of nonlinear equations with nonstandard growth.

Regularity results for a class of obstacle problems

On Lebesgue points of functions in the Sobolev class W 1 , n .

Partial continuity for elliptic problems

Weighted decomposition estimates for differential forms.

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

On Lebesgue points of functions in the Sobolev class $W^{1, n}$ .