A note on non-negative singular infinity-harmonic functions in the half-space.

Tilak Bhattacharya

Displaying similar documents to “A note on non-negative singular infinity-harmonic functions in the half-space.”

On the properties of infinity-harmonic functions and an application to capacitary convex rings.

Bhattacharya, Tilak (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Remarks on the gradient of an infinity-harmonic function.

Bhattacharya, Tilak (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Singular $p$ -harmonic functions and related quasilinear equations on manifolds.

Véron, Laurent (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Generalizations of Ostrowski inequality via biparametric Euler harmonic identities for measures.

Civljak, A., Dedic, Lj. (2010)

Banach Journal of Mathematical Analysis [electronic only]

Similarity:

Radial limits of superharmonic functions in the plane

D. Armitage (1994)

Colloquium Mathematicae

Similarity:

Asymptotics for the minimization of a Ginzburg-Landau energy in n dimensions

Paweł Strzelecki (1996)

Colloquium Mathematicae

Similarity:

We prove that minimizers $u \in W^{1, n}$ of the functional $E_{} (u) = 1 / n \int_{|} {\nabla u |}^{n} d x + 1 / (4^{n}) \int_{(} 1 - {| u |}^{2})^{2} d x$ , ⊂ $ℝ^{n}$ , n ≥ 3, which satisfy the Dirichlet boundary condition $u_{} = g$ on for g: → $S^{n - 1}$ with zero topological degree, converge in $W^{1, n}$ and $C_{l o c}^{α}$ for any α<1 - upon passing to a subsequence $_{k} \to 0$ - to some minimizing n-harmonic map. This is a generalization of an earlier result obtained for n=2 by Bethuel, Brezis, and Hélein. An example of nonunique asymptotic behaviour (which cannot occur in two dimensions if deg g = 0) is presented.

Example of an $\infty$ -harmonic function which is not $C^{2}$ on a dense subset.

Mikayelyan, Hayk (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

On $\infty$ -harmonic functions

Thierry De Pauw (2007)

Journées Équations aux dérivées partielles

Similarity:

On a certain class of harmonic multivalent functions.

Porwal, Saurabh, Dixit, Poonam, Kumar, Vinod (2011)

The Journal of Nonlinear Sciences and its Applications

Similarity:

Some properties of the extreme values of infinity-harmonic functions.

Bhattacharya, Tilak (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity: