Equivalence of weak and viscosity solutions to the -Laplace equation in the Heisenberg group.

Bieske, Thomas

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Classical, viscosity and average solutions for PDE’s with nonnegative characteristic form

Cristian E. Gutiérrez, Ermanno Lanconelli (2004)

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

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We compare several definitions of weak solutions to second order partial differential equations with nonnegative characteristic form.

Counting dimensions of $L$ -harmonic functions.

Li, Peter, Wang, Jiaping (2000)

Annals of Mathematics. Second Series

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The Harnack inequality for $\infty$ -harmonic functions.

Lindqvist, Peter, Manfredi, Juan J. (1995)

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

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A boundary Harnack principle for infinity-Laplacian and some related results.

Bhattacharya, Tilak (2007)

Boundary Value Problems [electronic only]

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On nonhomogeneous $A$ -harmonic equations and 1-harmonic equations.

Lin, En-Bing (2010)

Journal of Inequalities and Applications [electronic only]

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Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian

Sundararaja Ramaswamy (1993)

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

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The aim of this paper is to characterize the u.s.c. (resp. l.s.c.) viscosity sub (resp. super) solutions of the Laplacian which do not take the value $+ \infty$ (resp. $- \infty$ ) as precisely the sub (resp. super) harmonic functions.

Removable singularities for bounded $p$ -harmonic functions and quasi(super)harmonic functions.

Björn, Anders (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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On harmonic majorization of the Martin function at infinity in a cone

I. Miyamoto, Minoru Yanagishita, H. Yoshida (2005)

Czechoslovak Mathematical Journal

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This paper shows that some characterizations of the harmonic majorization of the Martin function for domains having smooth boundaries also hold for cones.

Displaying similar documents to “Equivalence of weak and viscosity solutions to the p -Laplace equation in the Heisenberg group.”

Displaying similar documents to “Equivalence of weak and viscosity solutions to the $p$ -Laplace equation in the Heisenberg group.”