Details
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Bug
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Status: Closed
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Blocker
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Resolution: Fixed
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2.2.0
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None
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Operating System: Solaris
Platform: Sun
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19156
Description
I receive the following error when attempting to parse a file with
a deep nesting of elements (MathML). This file validates fine using XMLSpy.
/usr/local/src/xerces-c2_2_0-Sol2.7ForCC/bin/SAX2Count test.xml
Fatal Error at file /tmp/xmltest/test.xml, line 48, char 917
Message: An exception occurred! Type:RuntimeException, Message:The buffer
manager cannot provide any more buffers
I'm including the XML that generates this error. Any help is appreciated.
Thanks,
David
--------
XML:
<?xml version = "1.0" encoding = "UTF-8" standalone="no" ?>
<!DOCTYPE euclid_issue SYSTEM
"http://ProjectEuclid.org/Dienst/htdocs/euclid/dtds/euclid_issue.dtd">
<euclid_issue version = "1.3">
<header>
<issue_identifier>jor ABC, vol 2, iss 3-4 (1997)</issue_identifier>
<timestamp>200304071929032</timestamp>
<euclid_journal_id>Test Data</euclid_journal_id>
<contact>
<contact_name>David Fielding</contact_name>
<email>dlf2@cornell.edu</email>
<phone>345-0000</phone>
</contact>
</header>
<issue>
<issue_data>
<journal_vol_number>2</journal_vol_number>
<issue_number label = "Number">3-4</issue_number>
<issue_publ_date iso8601 = "1997" type = "print">1997</issue_publ_date>
<start_page>185</start_page>
<end_page>315</end_page>
</issue_data>
<record>
<identifiers>
<identifier type = "pii">S1080033X</identifier>
<identifier type = "doi">14.55/S13X</identifier>
</identifiers>
<title>A result test eigenvalue</title>
<author order = "1">
<name>
<given_name>P.</given_name>
<surname>Dek</surname>
</name>
</author>
<author order = "2">
<name>
<given_name>A.</given_name>
<surname>Eil</surname>
</name>
</author>
<author order = "3">
<name>
<given_name>A.</given_name>
<surname>Toni</surname>
</name>
</author>
<abstract>
<p>We study bifurcation in any bounded
domain <math alttext="$\Omega$"><mi>Ω</mi></math> in <math
alttext="$\mathbb
^N$"><mrow><msup><mi>ℝ</mi><mi>N</mi></msup></mrow></math>:
<math display="block" alttext="$$\begin
-\sum^N_{i,j=1}\frac{\partial}{\partial x_i}[(\sum^N_{m,k=1}a_{mk}(x)\frac{\partial u}{\partial x_m}\frac{\partial u}{\partial x_k})^{\frac{p-2}{2}}a_{ij}
\frac{partial u}{\partial
x_j}]=\lambda g|u|^{p-2}u + f(x,u,\lambda),u\inW_0^{1,p}(\Omega)\end{cases}
$$"><mrow><mrow><mo>{</mo><mtable
columnalign="left"><mtr><mtd><msub><mi>A</mi><mi>p</mi></msub><mi>u</mi><mo>:</mo><mo>=</mo><mo>−</mo><munderover><mo>∑</mo><mrow><mi>i</mi><mo>,</mo><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>N</mi></munderover><mrow><mfrac><mo>∂</mo><mrow><mo>∂</mo><msub><mi>x</mi><mi>i</mi></msub></mrow></mfrac><mrow><mo></mo><mrow><msup><mrow><mrow><mo>(</mo><mrow><munderover><mo>∑</mo><mrow><mi>m</mi><mo>,</mo><mi>k</mi><mo>=</mo><mn>1</mn></mrow><mi>N</mi></munderover><mrow><msub><mi>a</mi><mrow><mi>m</mi><mi>k</mi></mrow></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mfrac><mrow><mo>∂</mo><mi>u</mi></mrow><mrow><mo>∂</mo><msub><mi>x</mi><mi>m</mi></msub></mrow></mfrac><mfrac><mrow><mo>∂</mo><mi>u</mi></mrow><mrow><mo>∂</mo><msub><mi>x</mi><mi>k</mi></msub></mrow></mfrac></mrow></mrow><mo>)</mo></mrow></mrow><mrow><mfrac><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow><mn>2</mn></mfrac></mrow></msup><msub><mi>a</mi><mrow><mi>i</mi><mi>j</mi></mrow></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mfrac><mrow><mo>∂</mo><mi>u</mi></mrow><mrow><mo>∂</mo><msub><mi>x</mi><mi>j</mi></msub></mrow></mfrac></mrow><mo></mo></mrow><mo>=</mo></mrow></mtd></mtr><mtr><mtd><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mtext> </mtext><mi>λ</mi><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><msup><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi><mo>+</mo><mi>f</mi><mrow><mo>(</mo><mrow><mi>x</mi><mo>,</mo><mi>u</mi><mo>,</mo><mi>λ</mi></mrow><mo>)</mo></mrow><mo>,</mo></mtd></mtr><mtr><mtd><mrow></mrow></mtd></mtr><mtr><mtd><mi>u</mi><mo>∈</mo><msubsup><mi>W</mi><mn>0</mn><mrow><mn>1</mn><mo>,</mo><mi>p</mi></mrow></msubsup><mrow><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow><mo>.</mo></mtd></mtr></mtable></mrow></mrow></math>.
We prove that the principal eigenvalue <math
alttext="$\lambda_1$"><msub><mi>λ</mi><mn>1</mn></msub></math> of the
eigenvalue problem <math display="block" alttext="$$\begin
g
|u|^{p-2}u,u\inW_0^{1,p}(\Omega),\end{cases}
$$"><mrow><mrow><mo>{</mo><mtable
columnalign="left"><mtr><mtd><msub><mi>A</mi><mi>p</mi></msub><mi>u</mi><mo>=</mo><mi>λ</mi><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><msup><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi><mo>,</mo></mtd></mtr><mtr><mtd><mi>u</mi><mo>∈</mo><msubsup><mi>W</mi><mn>0</mn><mrow><mn>1</mn><mo>,</mo><mi>p</mi></mrow></msubsup><mrow><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow><mo>,</mo></mtd></mtr></mtable></mrow></mrow></math>
is a bifurcation point of the problem mentioned above.</p>
</abstract>
<keywords>
<keyword>indefinite</keyword>
</keywords>
<subjects>
<subject scheme = "msc1991" rank = "primary">35B36</subject>
<subject scheme = "msc1991" rank = "primary"> 35J34</subject>
<subject scheme = "msc1991" rank = "secondary"> 35P34</subject>
</subjects>
<start_page>155</start_page>
<end_page>165</end_page>
<record_filename filetype = "pdfview">S1.pdf</record_filename>
<record_filename filetype = "tex">S1.ref</record_filename>
</record>
</issue>
</euclid_issue>