Regularity results for a class of obstacle problems in Heisenberg groups

Francesco Bigolin

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$C^{1, α}$ 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

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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 $1 + \frac{1}{\sqrt{5}} < p \leq 2$ .

On the unique continuation property for a nonlinear dispersive system.

Kozakevicius, Alice, Vera, Octavio (2005)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

Giovanna Idone (2004)

Czechoslovak Mathematical Journal

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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q > 2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$ .

Displaying similar documents to “Regularity results for a class of obstacle problems in Heisenberg groups”

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

On the unique continuation property for a nonlinear dispersive system.

Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

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