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Article

The Harnack Inequalities for Nonnegative Solutions of an Elliptic and Ultra-Hyperbolic Equation

by
Nuri Özalp
* and
Fatma Taşdelen
Ankara University, Faculty of Science, Department of Mathematics, 06100 Ankara, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2002, 7(3), 229-234; https://doi.org/10.3390/mca7030229
Published: 1 December 2002

Abstract

In this study, in means of the Harnack inequalities of the harmonic functions, some Harnack type inequalities are given for the solutions of GASPT equation with singular coefficients and for two expanded equations of it.
Keywords: Harnack inequality; harmonic functions; GASPT equation Harnack inequality; harmonic functions; GASPT equation

Share and Cite

MDPI and ACS Style

Özalp, N.; Taşdelen, F. The Harnack Inequalities for Nonnegative Solutions of an Elliptic and Ultra-Hyperbolic Equation. Math. Comput. Appl. 2002, 7, 229-234. https://doi.org/10.3390/mca7030229

AMA Style

Özalp N, Taşdelen F. The Harnack Inequalities for Nonnegative Solutions of an Elliptic and Ultra-Hyperbolic Equation. Mathematical and Computational Applications. 2002; 7(3):229-234. https://doi.org/10.3390/mca7030229

Chicago/Turabian Style

Özalp, Nuri, and Fatma Taşdelen. 2002. "The Harnack Inequalities for Nonnegative Solutions of an Elliptic and Ultra-Hyperbolic Equation" Mathematical and Computational Applications 7, no. 3: 229-234. https://doi.org/10.3390/mca7030229

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