<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0121-1935</journal-id>
<journal-title><![CDATA[Revista de Ciencias]]></journal-title>
<abbrev-journal-title><![CDATA[rev. cienc.]]></abbrev-journal-title>
<issn>0121-1935</issn>
<publisher>
<publisher-name><![CDATA[Universidad del Valle]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-19352016000200055</article-id>
<article-id pub-id-type="doi">10.25100/rc.v20i2.4673</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Conjetura de Escobar para el primer valor propio de Steklov sobre n-elipsoides]]></article-title>
<article-title xml:lang="en"><![CDATA[Escobar&#8217;s Conjecture for the First Steklov Eigenvalue on n-ellipsoids]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Montaño Carreño]]></surname>
<given-names><![CDATA[Óscar Andrés]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad del Valle Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Cali Valle]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2016</year>
</pub-date>
<volume>20</volume>
<numero>2</numero>
<fpage>55</fpage>
<lpage>61</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-19352016000200055&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-19352016000200055&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-19352016000200055&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Sea M un elipsoide en &#8477; n ; n &#8805; 3, si la segunda forma fundamental &#960; satisface &#960;(&#965;,&#965;) &#8805; k |&#651;|2 sobre &#8706;M, k &gt; 0, entonces el primer valor propio de Steklov &#957; 1(M) satisface la desigualdad &#957; 1(M) &#8805; k. La igualdad se obtiene si y sólo si M es la bola de radio 1/k. Este resultado verifica la conjetura de Escobar para n-elipsoides.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Let M an ellipsoid in &#8477; n , n &#8805; 3, if the second fundamental form &#960; satisfies &#960;(&#965;,&#965;) &#8805; k |&#651;|2 on &#8706;M, k &gt; 0, then the first Steklov eigenvalue &#957; 1(M) satisfies the inequality &#957; 1(M) &#8805; k. Equality is obtained only if M is the ball of radius 1/k. This result verifies Escobar&#8217;s conjecture for n- ellipsoids.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Valor propio de Steklov]]></kwd>
<kwd lng="es"><![CDATA[elipsoide]]></kwd>
<kwd lng="es"><![CDATA[segunda forma fundamental]]></kwd>
<kwd lng="en"><![CDATA[Steklov eigenvalue]]></kwd>
<kwd lng="en"><![CDATA[ellipsoid]]></kwd>
<kwd lng="en"><![CDATA[second fundamental form]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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</article>
