Entire extensions and exponential decay for semilinear elliptic equations |
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| Authors: | Marco Cappiello Todor Gramchev Luigi Rodino |
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| Institution: | 1.Dipartimento di Matematica,Università di Torino,Torino,Italy;2.Dipartimento Dimatematica e Informatica,Università di Cagliari,Cagliari,Italy |
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| Abstract: | We consider semilinear partial differential equations in ℝ
n
of the form
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$
\sum\limits_{\frac{{|\alpha |}}
{m} + \frac{{|\beta |}}
{k} \leqslant 1} {c_{\alpha \beta } x^\beta D_x^\alpha u = F(u)} ,
$
\sum\limits_{\frac{{|\alpha |}}
{m} + \frac{{|\beta |}}
{k} \leqslant 1} {c_{\alpha \beta } x^\beta D_x^\alpha u = F(u)} ,
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| Keywords: | |
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