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<top_article>
 <mrnumber>MR1718763</mrnumber>
 <author>Tsutsumi, Masayoshi and Yasuda, Takatoshi</author>
 <author_utf8>Masayoshi TSUTSUMI and Takatoshi YASUDA</author_utf8>
 <title>Penalty method for variational inequalities and its error               estimates</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>42</volume>
 <year>1999</year>
 <page>281--289</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol42/fe42-2-7.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE41-45-en_KML/fe42-281-289/fe42-281-289.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1718763</mathsci_link>
<fesi_info>
  <FILE>fe42-281-289</FILE>
  <YEAR>1999</YEAR>
  <TITLE>Penalty Method for Variational Inequalities and Its Error Estimates</TITLE>
  <AUTHOR>TSUTSUMI, Masayoshi; YASUDA, Takatoshi</AUTHOR>
  <AUTHOR_utf8>TSUTSUMI, Masayoshi; YASUDA, Takatoshi</AUTHOR_utf8>
</fesi_info>

<references>
  <book>
    <bibitem>1</bibitem>
    <author>Baiocchi, C.; Capelo, A.</author>
    <booktitle>Variational and Quasivariational Inequalities: Applications to Free Boundary Problems</booktitle>
    <publisher>John Wiley &amp; Sons, New York</publisher>
    <year>1984</year>
    <mr>MR0745619</mr>
    <score>100</score>
    <query_string>Cache/Ba/Baiocchi,Quasivariational,*,1984,1985</query_string>
    <page>ix+452</page>
  </book>

  <article>
    <bibitem>2</bibitem>
    <author>Br&#233;zis, H.</author>
    <title>Equations et in&#233;quations non lin&#233;aires dans les espaces vectoriels en dualit&#233;</title>
    <journal>Ann. Inst. Fourier</journal>
    <vol>18</vol>
    <year>1968</year>
    <page>115-175</page>
    <mr>MR0270222</mr>
    <score>100</score>
    <query_string>Cache/Br/Br&#233;zis,*,Ann*,1968,1969</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Br&#233;zis, H.</author>
    <title>Probl&#232;mes unilat&#233;raux</title>
    <journal>J. Math. Pures Appl.</journal>
    <vol>51</vol>
    <year>1972</year>
    <page>1-168</page>
    <mr>MR0428137</mr>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Browder, F.</author>
    <title>Nonlinear monotonoe operators and convex sets in Banach spaces</title>
    <journal>Bull. Amer. Math. Soc.</journal>
    <vol>71</vol>
    <year>1965</year>
    <page>780-785</page>
    <mr>MR0180882</mr>
    <score>88</score>
    <query_string>Cache/Br/Browder,Nonlinear,Bull*,1965,1966</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Browder, F.</author>
    <title>Existence and approximation of solutions of nonlinear variational inequalities</title>
    <journal>Proc. Nat. Acad. Sci. USA</journal>
    <vol>56</vol>
    <year>1966</year>
    <page>1080-1086</page>
    <mr>MR0203534</mr>
    <score>100</score>
    <query_string>Cache/Br/Browder,approximation,Proc*,1966,1967</query_string>
  </article>

  <book>
    <bibitem>6</bibitem>
    <author>Duvaut, G.; Lions, J. L.</author>
    <booktitle>Les In&#233;quations en M&#233;canique et en Physique</booktitle>
    <publisher>Dunod, Paris</publisher>
    <year>1972</year>
    <mr>MR0464857</mr>
    <score>100</score>
    <query_string>Cache/Du/Duvaut,Les,*,1972,1973</query_string>
    <page>xx+387</page>
  </book>

  <article>
    <bibitem>7</bibitem>
    <author>Fichera, G.</author>
    <title>Problemi elastostatici con vincoli unilaterali: il problema di Signorini con ambigue condizioni al contorno</title>
    <journal>Mem. Accad. Naz. Lincei Ser. VII</journal>
    <ser>VII</ser>
    <vol>7</vol>
    <year>1964</year>
    <page>613-679</page>
    <mr>MR0178631</mr>
    <score>100</score>
    <query_string>Cache/Fi/Fichera,elastostatici,Mem*,1964,1965</query_string>
  </article>

  <book>
    <bibitem>8</bibitem>
    <author>Friedman, A.</author>
    <booktitle>Variational Principles and Free Boundary Value Problems</booktitle>
    <publisher>Wiley-Interscience, New York</publisher>
    <year>1982</year>
    <mr>MR0679313</mr>
    <query_string>Cache/Fr/Friedman,Variational,*,1983,1984</query_string>
  </book>

  <book>
    <bibitem>9</bibitem>
    <author>Gilbarg, D.; Trudinger, N.</author>
    <booktitle>Elliptic Partial Differential Equations of Second Order</booktitle>
    <publisher>Springer, Berlin</publisher>
    <year>1983</year>
    <mr>MR0737190</mr>
    <score>100</score>
    <query_string>Cache/Gi/Gilbarg,Elliptic,*,1983,1984</query_string>
    <page>xiii+513</page>
  </book>

  <article>
    <bibitem>10</bibitem>
    <author>Kinderlehrer, D.</author>
    <title>Remarks about Signorini's problem in linear elasticity</title>
    <journal>Ann. Scuola Norm. Sup. Pisa</journal>
    <vol>8</vol>
    <year>1981</year>
    <page>605-645</page>
    <mr>MR0656002</mr>
    <score>100</score>
    <query_string>Cache/Ki/Kinderlehrer,Signorini's,Ann*,1981,1982</query_string>
  </article>

  <book>
    <bibitem>11</bibitem>
    <author>Kinderlehrer, D.; Stampacchia, G.</author>
    <booktitle>An Introduction to Variational Inequalities</booktitle>
    <publisher>Academic, New York</publisher>
    <year>1980</year>
    <mr>MR0567696</mr>
  </book>

  <book>
    <bibitem>12</bibitem>
    <author>Lions, J. L.</author>
    <booktitle>Quelques M&#233;thodes de R&#233;solution des Probl&#232;mes aux Limites Nonlin&#233;aires</booktitle>
    <publisher>Dunod, Paris</publisher>
    <year>1969</year>
    <mr>MR0259693</mr>
    <score>100</score>
    <query_string>Cache/Li/Lions,Quelques,*,1969,1970</query_string>
    <page>xx+554</page>
  </book>

  <article>
    <bibitem>13</bibitem>
    <author>Lions, J. L.; Stampacchia, G.</author>
    <title>Variational Inequalities</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>20</vol>
    <year>1967</year>
    <page>493-519</page>
    <mr>MR0216344</mr>
    <score>100</score>
    <query_string>Cache/Li/Lions,Inequalities,Comm*,1967,1968</query_string>
  </article>

  <book>
    <bibitem>14</bibitem>
    <author>Rodrigues, J. F.</author>
    <booktitle>Obstacle Problems in Mathematical Physics</booktitle>
    <publisher>North Holland, Amsterdam</publisher>
    <year>1987</year>
    <mr>MR0880369</mr>
    <score>100</score>
    <query_string>Cache/Ro/Rodrigues,Mathematical,*,1987,1988</query_string>
    <page>xvi+352</page>
  </book>

  <article>
    <bibitem>15</bibitem>
    <author>Signorini, A.</author>
    <title>Questioni di elasticcit&#224; nonlinearizzata e semilinearizzata</title>
    <journal>Rend. Mat.</journal>
    <vol>18</vol>
    <year>1959</year>
    <page>95-139</page>
    <mr>MR0118021</mr>
    <score>85</score>
    <query_string>Cache/Si/Signorini,semilinearizzata,Rend*,1959,1960</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Stampacchia, G.</author>
    <title>Formes bilin&#233;aires coercitives sur les ensembles convexes</title>
    <journal>C. R. Acad. Sci. Paris</journal>
    <vol>258</vol>
    <year>1964</year>
    <page>4413-4416</page>
    <mr>MR0166591</mr>
    <score>100</score>
    <query_string>Cache/St/Stampacchia,Formes,C*,1964,1965</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Stampacchia, G.</author>
    <title>Le probl&#232;me de Dirichlet pour les &#233;quations elliptiques du  second ordre &#224; coefficients discontinus</title>
    <journal>Ann. Inst. Fourier</journal>
    <vol>258</vol>
    <year>1965</year>
    <page>189-258</page>
    <mr>MR0192177</mr>
    <score>100</score>
    <query_string>Cache/St/Stampacchia,Le,Ann*,1965,1966</query_string>
  </article>

</references>
</top_article>
