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most citedOn the Dirichlet Problem for Fully Nonlinear Elliptic Hessian Systems

1 citations

researchers with a paper here

Nikos Katzourakis2
Juan J. Manfredi1

collaborating institutions

University of PittsburghUS1 paper

2 papers

math.AP2014★ 1 cited

Remarks on the validity on the maximum principle for the $\infty$ -Laplacian

Nikos Katzourakis, Juan Manfredi

In this note we give three counter-examples which show that the Maximum Principle generally fails for classical solutions of a system and a single equation related to the $\infty$ -…

math.AP2014★ 1 cited

On the Dirichlet Problem for Fully Nonlinear Elliptic Hessian Systems

Nikos Katzourakis

We consider the problem of existence and uniqueness of strong solutions $u : Ω \subset R^{n} ⟶ R^{N}$ in $(H^{2} \cap H_{0}^{1}) (Ω)^{N}$ to the problem \[\labe…

Remarks on the validity on the maximum principle for the ∞-Laplacian

On the Dirichlet Problem for Fully Nonlinear Elliptic Hessian Systems

Remarks on the validity on the maximum principle for the $\infty$ -Laplacian