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A Wiener type criterion for weighted quasiminima

Silvana Marchi — 1991

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

We prove a sufficient condition of continuity at the boundary for quasiminima of degenerate type. W. P. Ziemer stated a Wiener-type criterion for the quasiminima defined by Giaquinta and Giusti. In this paper we extend the result of Ziemer to the case of weighted quasiminima, the weight being in the $A^{2}$ class of Muckenhoupt.

$C^{1, α}$ local regularity for the solutions of the $p$ -Laplacian on the Heisenberg group. The case $1 + \frac{1}{\sqrt{5}} < p \leq 2$

Silvana Marchi — 2003

Commentationes Mathematicae Universitatis Carolinae

We prove the Hölder continuity of the homogeneous gradient of the weak solutions $u \in W_{loc}^{1, p}$ of the p-Laplacian on the Heisenberg group $ℋ^{n}$ , for $1 + \frac{1}{\sqrt{5}} < p \leq 2$ .

Correction to the paper: $C^{1, α}$ local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case $1 + \frac{1}{\sqrt{5}} < p \leq 2$

Silvana Marchi — 2003

Commentationes Mathematicae Universitatis Carolinae

Harnack inequality for the Schrödinger problem relative to strongly local Riemannian $p$ -homogeneous forms with a potential in the Kato class.

Biroli, Marco; Marchi, Silvana — 2007

Boundary Value Problems [electronic only]

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A Wiener type criterion for weighted quasiminima

$C^{1, α}$ local regularity for the solutions of the $p$ -Laplacian on the Heisenberg group. The case $1 + \frac{1}{\sqrt{5}} < p \leq 2$

Correction to the paper: $C^{1, α}$ local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case $1 + \frac{1}{\sqrt{5}} < p \leq 2$

Harnack inequality for the Schrödinger problem relative to strongly local Riemannian $p$ -homogeneous forms with a potential in the Kato class.

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Formula preview

Currently displaying 1 – 4 of 4

A Wiener type criterion for weighted quasiminima

C 1 , α local regularity for the solutions of the p -Laplacian on the Heisenberg group. The case 1 + 1 5 < p ≤ 2

Correction to the paper: C 1 , α local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case 1 + 1 5 < p ≤ 2

Harnack inequality for the Schrödinger problem relative to strongly local Riemannian p -homogeneous forms with a potential in the Kato class.

$C^{1, α}$ local regularity for the solutions of the $p$ -Laplacian on the Heisenberg group. The case $1 + \frac{1}{\sqrt{5}} < p \leq 2$

Correction to the paper: $C^{1, α}$ local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case $1 + \frac{1}{\sqrt{5}} < p \leq 2$

Harnack inequality for the Schrödinger problem relative to strongly local Riemannian $p$ -homogeneous forms with a potential in the Kato class.