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 <mrnumber>MR1662344</mrnumber>
 <author>Naito, Y{\=u}ki and Suzuki, Takashi</author>
 <author_utf8>Y&#363;ki NAITO and Takashi SUZUKI</author_utf8>
 <title>Radial symmetry of positive solutions for semilinear elliptic               equations on the unit ball in {${\bf R}\sp n$}</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>41</volume>
 <year>1998</year>
 <page>215--234</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol41/fe41-2-4.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE41-45-en_KML/fe41-215-234/fe41-215-234.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1662344</mathsci_link>
<fesi_info>
  <FILE>fe41-215-234</FILE>
  <YEAR>1998</YEAR>
  <TITLE>Radial Symmetry of Positive Solutions for Semilinear Elliptic Equations on the Unit Ball in $R^n$</TITLE>
  <AUTHOR>NAITO, Y\=uki; SUZUKI, Takashi</AUTHOR>
  <AUTHOR_utf8>NAITO, Y\=uki; SUZUKI, Takashi</AUTHOR_utf8>
</fesi_info>

<references>
  <book>
    <bibitem>1</bibitem>
    <author>Bendetti, R.; Petronio, C.</author>
    <booktitle>Lectures on hyperbolic geometry</booktitle>
    <publisher>Springer-Verlag</publisher>
    <year>1992</year>
    <mr>MR1219310</mr>
    <query_string>Cache/Be/Bendetti,hyperbolic,*,1992,1993</query_string>
  </book>

  <article>
    <bibitem>2</bibitem>
    <author>Berestycki, H.; Nirenberg, L.</author>
    <title>Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations</title>
    <journal>J. Geometry Physics</journal>
    <vol>5</vol>
    <year>1998</year>
    <page>237-275</page>
    <mr>MR1029429</mr>
    <query_string>Cache/Be/Berestycki,Monotonicity,,J*,1998,1999</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Berestycki, H.; Nirenberg, L.</author>
    <title>On the method of moving planes and the sliding method</title>
    <journal>Boltetim Soc. Brasileira Mat. Nova Ser.</journal>
    <vol>22</vol>
    <year>1991</year>
    <page>1-37</page>
    <mr>MR1159383</mr>
    <query_string>Cache/Be/Berestycki,sliding,Boltetim*,1991,1992</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Brezis, H.; Oswald, L.</author>
    <title>Remarks on sublinear elliptic equation</title>
    <journal>Nonliner Analysis</journal>
    <vol>10</vol>
    <year>1986</year>
    <page>55-64</page>
    <mr>MR0820658</mr>
    <query_string>Cache/Br/Brezis,sublinear,Nonliner*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Gidas, B.; Ni, W. M.; Nirenberg, L.</author>
    <title>Symmetry and related properties via the maximum principle</title>
    <journal>Comm. Math. Phys.</journal>
    <vol>68</vol>
    <year>1979</year>
    <page>209-243</page>
    <mr>MR0544879</mr>
    <score>100</score>
    <query_string>Cache/Gi/Gidas,properties,Comm*,1979,1980</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Lazer, A. C.; McKenna, P. J.</author>
    <title>A symmetry theorem and applications to nonlinear partial differential equations</title>
    <journal>J. Differential Equations</journal>
    <vol>72</vol>
    <year>1988</year>
    <page>95-106</page>
    <mr>MR0929199</mr>
    <score>100</score>
    <query_string>Cache/La/Lazer,applications,J*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Li, Y.</author>
    <title>On the positive solutions of the Matukuma equation</title>
    <journal>Duke Math. J.</journal>
    <vol>70</vol>
    <year>1993</year>
    <page>575-589</page>
    <mr>MR1224099</mr>
    <score>100</score>
    <query_string>Cache/Li/Li,solutions,Duke*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Li, Y.; Ni, W. M.</author>
    <title>Radial symmetry of positive solutions of nonlinear elliptic equations in $R^n$</title>
    <journal>Comm. Partial Differential Equations</journal>
    <vol>18</vol>
    <year>1993</year>
    <page>1043-1054</page>
    <mr>MR1218528</mr>
    <query_string>Cache/Li/Li,solutions,Comm*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Li, Y.; Santanilla, J.</author>
    <title>Existence and nonexistence of positive singular solutions for semilinear elliptic problems with applications in a astrophysics</title>
    <journal>Differential Integral Equations</journal>
    <vol>8</vol>
    <year>1995</year>
    <page>1369-1383</page>
    <mr>MR1329846</mr>
    <score>100</score>
    <query_string>Cache/Li/Li,nonexistence,Differential*,1995,1996</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Naito, Y.</author>
    <title>Bounded solutions with prescribed numbers of zeros for the Emden-Fowler differential equation</title>
    <journal>Hiroshima Math. J.</journal>
    <year>1994</year>
    <page>177-220</page>
    <mr>MR1265600</mr>
    <score>100</score>
    <query_string>Cache/Na/Naito,Emden-Fowler,Hiroshima*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Naito, Y.; Nishimoto, T.; Suzuki, T.</author>
    <title>Radial symmetry of positive solutions for semilinear elliptic equations in a disc</title>
    <journal>Hiroshima Math. J.</journal>
    <vol>26</vol>
    <year>1996</year>
    <page>531-545</page>
    <mr>MR1421224</mr>
    <score>100</score>
    <query_string>Cache/Na/Naito,semilinear,Hiroshima*,1996,1997</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Nagasaki, K.</author>
    <title>Radial solutions for $\Delta u+|x|^l |u|^{p-1}u=0$ on the unit ball in $R^n$</title>
    <journal>J. Fac. Sci. Univ. Tokyo Sect. IA, Math.</journal>
    <vol>36</vol>
    <year>1989</year>
    <page>211-232</page>
    <mr>MR1014997</mr>
    <query_string>Cache/Na/Nagasaki,u+|x|^l|u|^p-1u=0,J*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Ni, W. -M.</author>
    <title>On a singular elliptic equation</title>
    <journal>Proc. Amer. Math. Soc.</journal>
    <vol>88</vol>
    <year>1983</year>
    <page>614-616</page>
    <mr>MR0702285</mr>
    <score>100</score>
    <query_string>Cache/Ni/Ni,singular,Proc*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Ni, W. -M.</author>
    <title>Uniqueness, nonuniqueness and related questions of nonlinear elliptic and parabolic equations</title>
    <journal>Proc. Symposia Pure Math.</journal>
    <vol>45</vol>
    <year>1986</year>
    <page>229-241</page>
    <mr>MR0843611</mr>
    <query_string>Cache/Ni/Ni,nonuniqueness,Proc*,1986,1987</query_string>
  </article>

  <book>
    <bibitem>15</bibitem>
    <author>Protter, M.; Weinberger, H.</author>
    <booktitle>Maximum Principles in Differential Equations</booktitle>
    <publisher>Prentice-hall, Englewood Cliffs, N.J.</publisher>
    <year>1967</year>
    <mr>MR0219861</mr>
    <score>80</score>
    <query_string>Cache/Pr/Protter,Principles,*,1967,1968</query_string>
    <page>x+261</page>
  </book>

  <article>
    <bibitem>16</bibitem>
    <author>Serrin, J.</author>
    <title>A symmetry problem in potential theory</title>
    <journal>Arch. Rational Mech. Anal.</journal>
    <vol>43</vol>
    <year>1971</year>
    <page>304-318</page>
    <mr>MR0333220</mr>
    <score>100</score>
    <query_string>Cache/Se/Serrin,potential,Arch*,1971,1972</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Suzuki, T.</author>
    <title>Symmetric domains and elliptic equations</title>
    <journal>In: Recent Topics in Nonlinear PDE IV (Mimura, M., Nishida, T. eds.), Kinokuniya-North Halland</journal>
    <year>1989</year>
    <page>153-177</page>
    <mr>MR1041380</mr>
    <query_string>Cache/Su/Suzuki,Symmetric,*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Veron, L.</author>
    <title>Geometric invariance of singular solutions of some nonlinear partial differential equations</title>
    <journal>Indiana Univ. Math. J.</journal>
    <vol>38</vol>
    <year>1989</year>
    <page>75-100</page>
    <mr>MR0982571</mr>
    <score>100</score>
    <query_string>Cache/Ve/Veron,invariance,Indiana*,1989,1990</query_string>
  </article>

</references>
</top_article>
