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

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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.

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

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

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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.

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

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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.”