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<top_article>
 <mrnumber>MR1709806</mrnumber>
 <author>Omata, Seiro and Yamaura, Yoshihiko</author>
 <author_utf8>Seiro OMATA and Yoshihiko YAMAURA</author_utf8>
 <title>A free boundary problem for quasilinear elliptic equations.               {II}. {$C\sp {1,\alpha}$}-regularity of free boundary</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>42</volume>
 <year>1999</year>
 <page>9--70</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol42/fe42-1-2.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE41-45-en_KML/fe42-009-070/fe42-009-070.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1709806</mathsci_link>
<fesi_info>
  <FILE>fe42-009-070</FILE>
  <YEAR>1999</YEAR>
  <TITLE>A Free Boundary Problem for Quasilinear Elliptic Equations Part II: $C^{1,\alpha}$-Regularity of Free Boundary</TITLE>
  <AUTHOR>OMATA, Seiro; YAMAURA, Yoshihiko</AUTHOR>
  <AUTHOR_utf8>OMATA, Seiro; YAMAURA, Yoshihiko</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.</author>
    <title>Existence and regularity for a minimum problem with free boundary</title>
    <journal>J. Reine Angew. Math.</journal>
    <vol>325</vol>
    <year>1981</year>
    <page>105-144</page>
    <mr>MR0618549</mr>
    <score>100</score>
    <query_string>Cache/Al/Alt,regularity,J*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.; Friedman, A.</author>
    <title>Asymmetric jet flow</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>35</vol>
    <year>1982</year>
    <page>29-68</page>
    <mr>MR0637494</mr>
    <query_string>Cache/Al/Alt,symmetric,Comm*,1982,1983</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.; Friedman, A.</author>
    <title>Jet flow with gravity</title>
    <journal>J. Reine Angew. Math.</journal>
    <vol>331</vol>
    <year>1982</year>
    <page>58-103</page>
    <mr>MR0647374</mr>
    <score>75</score>
    <query_string>Cache/Al/Alt,gravity,J*,1982,1983</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.; Friedman, A.</author>
    <title>Axially symmetric jet flows</title>
    <journal>Arch. Rational Mech. Anal.</journal>
    <vol>81</vol>
    <year>1983</year>
    <page>97-149</page>
    <mr>MR0682265</mr>
    <score>100</score>
    <query_string>Cache/Al/Alt,symmetric,Arch*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.; Friedman, A.</author>
    <title>A free boundary problem for quasilinear elliptic equations</title>
    <journal>Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)</journal>
    <ser>4</ser>
    <vol>11</vol>
    <year>1984</year>
    <page>1-44</page>
    <mr>MR0752578</mr>
    <query_string>Cache/Al/Alt,quasi-Linear,Ann*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.; Friedman, A.</author>
    <title>Jets with two fluids I: One free boundary</title>
    <journal>Indiana Univ. Math. J.</journal>
    <vol>33</vol>
    <year>1984</year>
    <page>213-247</page>
    <mr>MR0733897</mr>
    <score>100</score>
    <query_string>Cache/Al/Alt,boundary,Indiana*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.; Friedman, A.</author>
    <title>Jets with two fluids II: Two free boundaries</title>
    <journal>Indiana Univ. Math. J.</journal>
    <vol>33</vol>
    <year>1984</year>
    <page>367-391</page>
    <mr>MR0740956</mr>
    <score>100</score>
    <query_string>Cache/Al/Alt,boundaries,Indiana*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Alt, H. W.; Caffarelli, L. A.; Friedman, A.</author>
    <title>Compressible flows of jets and cavities</title>
    <journal>J. Differential Equations</journal>
    <vol>56</vol>
    <year>1985</year>
    <page>82-141</page>
    <mr>MR0772122</mr>
    <score>100</score>
    <query_string>Cache/Al/Alt,Compressible,J*,1985,1986</query_string>
  </article>

  <book>
    <bibitem>9</bibitem>
    <author>Federer, H.</author>
    <booktitle>Geometric Measure Theory</booktitle>
    <publisher>Grund. Math. Wiss. 153, Springer-Verlag, Berlin-Heidelberg-New York</publisher>
    <year>1977</year>
    <mr>MR0257325</mr>
    <query_string>Cache/Fe/Federer,Geometric,*,1977,1978</query_string>
  </book>

  <book>
    <bibitem>10</bibitem>
    <author>Giaquinta, M.</author>
    <booktitle>Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems</booktitle>
    <ser>Ann. of Math. Stud</ser>
    <vol>105</vol>
    <publisher>Princeton Univ. Press</publisher>
    <year>1983</year>
    <mr>MR0717034</mr>
    <score>100</score>
    <query_string>Cache/Gi/Giaquinta,Variations,*,1983,1984</query_string>
    <page>vii+297</page>
  </book>

  <book>
    <bibitem>11</bibitem>
    <author>Gilbarg, D.; Trudinger, N. S.</author>
    <booktitle>Elliptic Partial Differential Equations of Second Order</booktitle>
    <publisher>Grund. Math. Wiss. 224, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo</publisher>
    <year>1983</year>
    <page>xiii+513</page>
    <mr>MR0737190</mr>
    <score>100</score>
    <query_string>Cache/Gi/Gilbarg,Elliptic,*,1983,1984</query_string>
  </book>

  <book>
    <bibitem>12</bibitem>
    <author>Giusti, E.</author>
    <booktitle>Minimal Surfaces and Functions of Bounded Variation</booktitle>
    <ser>Monographs Math</ser>
    <vol>80</vol>
    <publisher>Birkh&#228;user, Boston-Basel-Stuttgart</publisher>
    <year>1984</year>
    <mr>MR0775682</mr>
    <score>100</score>
    <query_string>Cache/Gi/Giusti,Functions,*,1984,1985</query_string>
    <page>xii+240</page>
  </book>

  <book>
    <bibitem>13</bibitem>
    <author>Ladyzhenskaya, O. A.; Ural'tseva, N. N.</author>
    <booktitle>Linear and Quasilinear Elliptic Equations</booktitle>
    <publisher>Academic Press, New York-London-Toronto-Sydney-San Francisco</publisher>
    <year>1968</year>
    <mr>MR0244627</mr>
    <score>100</score>
    <query_string>Cache/La/Ladyzhenskaya,Quasilinear,*,1968,1969</query_string>
    <page>xviii+495</page>
  </book>

  <article>
    <bibitem>14</bibitem>
    <author>Nagasawa, T.; Omata, S.</author>
    <title>Discrete Morse semiflows of a functional with free boundary</title>
    <journal>Adv. Math. Sci. Appl.</journal>
    <vol>2</vol>
    <year>1993</year>
    <page>147-187</page>
    <mr>MR1239254</mr>
    <score>100</score>
    <query_string>Cache/Na/Nagasawa,functional,Adv*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Nagasawa, T.; Omata, S.</author>
    <title>Discrete Morse semiflows and their convergence of a functional with free boundary</title>
    <journal>in Nonlinear PDEs-Proc. International Conference Zhe-hiang Univ., International Academic Publ., Beijing</journal>
    <year>1992</year>
    <page>205-213</page>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Omata, S.</author>
    <title>A free boundary problem for a quasilinear elliptic equation Part I: Rectifiability of free boundary</title>
    <journal>Differential and Integral Equations</journal>
    <vol>6</vol>
    <num>6</num>
    <year>1993</year>
    <page>1299-1312</page>
    <mr>MR1235194</mr>
    <score>100</score>
    <query_string>Cache/Om/Omata,Rectifiability,Differential*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Omata, S.; Yamaura, Y.</author>
    <title>A free boundary problem for nonlinear elliptic equations</title>
    <journal>Proc. Japan Acad. Ser. A Math.</journal>
    <ser>A</ser>
    <vol>21</vol>
    <year>1990</year>
    <page>281-286</page>
    <mr>MR1105517</mr>
    <query_string>Cache/Om/Omata,quasilinear,Proc*,1990,1991</query_string>
  </article>

  <book>
    <bibitem>18</bibitem>
    <author>Simon, L.</author>
    <booktitle>Lecture on Geometric Measure Theory</booktitle>
    <publisher>Proc. Centre for Math. Anal. Austral. Nat. Univ. 3</publisher>
    <year>1983</year>
    <mr>MR0756417</mr>
    <score>80</score>
    <query_string>Cache/Si/Simon,Geometric,*,1983,1984</query_string>
    <page>vii+272</page>
  </book>

  <other>
    <bibitem>19</bibitem>
    <raw_data>Weiss, G., A free boundary problem for non-radial-symmetric quasi-linear elliptic equations, Bonn (1993), doctor thesis</raw_data>
  </other>

  <article>
    <bibitem>20</bibitem>
    <author>Yamaura, Y.</author>
    <title>The regularity of minimizers of a radially symmetric free boundary problem</title>
    <journal>Ann. Univ. Ferrara-Sez. VII-Sc. Mat.</journal>
    <vol>38</vol>
    <year>1992</year>
    <page>177-192</page>
    <mr>MR1261969</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yamaura,regularity,Ann*,1992,1993</query_string>
  </article>

  <article>
    <bibitem>21</bibitem>
    <author>Yamaura, Y.</author>
    <title>A free boundary problem for the minimal surface equation</title>
    <journal>Boll. U.M.I. (7)</journal>
    <vol>8-B</vol>
    <year>1994</year>
    <page>201-229</page>
    <mr>MR1274326</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yamaura,boundary,Boll*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>22</bibitem>
    <author>Yamaura, Y.</author>
    <title>A uniform estimate of the perimeter for minimizers of a free boundary problem</title>
    <journal>Rend. Mat. S. VII</journal>
    <vol>13</vol>
    <year>1993</year>
    <page>609-625</page>
    <mr>MR1283989</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yamaura,minimizers,Rend*,1993,1994</query_string>
  </article>

  <book>
    <bibitem>23</bibitem>
    <author>Ziemer, W. P.</author>
    <booktitle>Weakly Differentiable Functions</booktitle>
    <publisher>Springer-Verlag, GTM 120</publisher>
    <year>1989</year>
    <mr>MR1014685</mr>
    <score>100</score>
    <query_string>Cache/Zi/Ziemer,Differentiable,*,1989,1990</query_string>
    <page>xvi+308</page>
  </book>

</references>
</top_article>
