P. P. Kargaev, “On the positive solutions of the Darboux equation $\Delta u=\dfrac{(\alpha-1)}y\,\dfrac{\partial u}{\partial y}$, $\alpha>0$, in the half-space $y>0$”, Algebra i Analiz, 8:3 (1996), 125–150; St. Petersburg Math. J., 8:3 (1997), 463

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Algebra i Analiz, 1996, Volume 8, Issue 3, Pages 125–150 (Mi aa722)

This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

On the positive solutions of the Darboux equation

Δ u = \frac{(α - 1)}{y} \frac{\partial u}{\partial y}

$\Delta u=\dfrac{(\alpha-1)}y\,\dfrac{\partial u}{\partial y}$ ,

α > 0

$\alpha>0$ , in the half-space

y > 0

$y>0$

P. P. Kargaev

St. Petersburg State University, Department of Mathematics and Mechanics

Full-text PDF (835 kB) Citations (2)

Received: 13.09.1995

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: P. P. Kargaev, “On the positive solutions of the Darboux equation

Δ u = \frac{(α - 1)}{y} \frac{\partial u}{\partial y}

$\Delta u=\dfrac{(\alpha-1)}y\,\dfrac{\partial u}{\partial y}$ ,

α > 0

$\alpha>0$ , in the half-space

y > 0

$y>0$ ”, Algebra i Analiz, 8:3 (1996), 125–150; St. Petersburg Math. J., 8:3 (1997), 463–479

Citation in format AMSBIB

\Bibitem{Kar96}

\by P.~P.~Kargaev

\paper On the positive solutions of the Darboux equation $\Delta u=\dfrac{(\alpha-1)}y\,\dfrac{\partial u}{\partial y}$, $\alpha>0$, in the half-space $y>0$

\jour Algebra i Analiz

\yr 1996

\vol 8

\issue 3

\pages 125--150

\mathnet{http://mi.mathnet.ru/aa722}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1402291}

\zmath{https://zbmath.org/?q=an:0888.35030}

\transl

\jour St. Petersburg Math. J.

\yr 1997

\vol 8

\issue 3

\pages 463--479

Linking options:

https://www.mathnet.ru/eng/aa722

https://www.mathnet.ru/eng/aa/v8/i3/p125

This publication is cited in the following 2 articles:

E. S. Dubtsov, “Radial limits of positive solutions to the Darboux equation”, J. Math. Sci. (N. Y.), 156:5 (2009), 813–818
A. B. Aleksandrov, “Approximation by M. Riesz's kernels in $L^p$ for $p<1$ ”, J. Math. Sci. (N. Y.), 134:4 (2006), 2239–2257

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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