<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR1245346</mrnumber>
 <author>Kabeya, Yoshitsugu</author>
 <author_utf8>Yoshitsugu KABEYA</author_utf8>
 <title>On some quasilinear elliptic problems involving critical               Sobolev exponents</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>36</volume>
 <year>1993</year>
 <page>385--404</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol36/fe36-2-10.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe36-385-404/fe36-385-404.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1245346</mathsci_link>
<fesi_info>
  <FILE>fe36-385-404</FILE>
  <YEAR>1993</YEAR>
  <TITLE>On Some Quasilinear Elliptic Problems Involving Critical Sobolev Exponents</TITLE>
  <AUTHOR>KABEYA, Yoshitsugu</AUTHOR>
  <AUTHOR_utf8>KABEYA, Yoshitsugu</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Ambrosetti, A.; Struwe, M.</author>
    <title>A note on the problem $-\Delta u=\lambda u+u|u|^{2^*-2}$</title>
    <journal>Manuscripta Math.</journal>
    <vol>54</vol>
    <year>1986</year>
    <page>373-379</page>
    <mr>MR0829403</mr>
    <query_string>Cache/Am/Ambrosetti,u+u|u|^2*-2,Manuscripta*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Azorero, G.; Alonso, P.</author>
    <title>Existence and nonuniqueness for the $p$-Laplacian; nonlinear eigenvalues</title>
    <journal>Comm. Partial Differential Equations</journal>
    <vol>12</vol>
    <year>1987</year>
    <page>1389-1430</page>
    <mr>MR0912211</mr>
    <query_string>Cache/Az/Azorero,nonuniqueness,Comm*,1987,1988</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Benci, V.; Cerami, G.</author>
    <title>Existence of positive solutions of the equation $-\Delta u+a(x)u=u^{(n+2)/(n-2)}$ in $R^n$</title>
    <journal>J. Funct. Anal</journal>
    <vol>88</vol>
    <year>1990</year>
    <page>90-117</page>
    <mr>MR1033915</mr>
    <score>78</score>
    <query_string>Cache/Be/Benci,Existence,J*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Brezis, H.; Nirenberg, L.</author>
    <title>Positive solutions of nonlinear elliptic equations involving critical Sobolev Exponents</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>36</vol>
    <year>1983</year>
    <page>437-477</page>
    <mr>MR0709644</mr>
    <score>100</score>
    <query_string>Cache/Br/Brezis,solutions,Comm*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Capozzi, A.; Fortunato, D.; Palmieri, G.</author>
    <title>An existence result for nonlinear elliptic problems involving critical Sobolev exponents</title>
    <journal>Ann. Inst. H. Poincar&#233; Anal. Non Lin&#233;aire</journal>
    <vol>2</vol>
    <year>1985</year>
    <page>463-470</page>
    <mr>MR0831041</mr>
    <query_string>Cache/Ca/Cappzi,exintence,Ann*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Cerami, G.; Fortunato, D.; Struwe, M.</author>
    <title>Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents</title>
    <journal>Ann. Inst. H. Poincar&#233; Anal. Non Lin&#233;aire</journal>
    <vol>1</vol>
    <year>1984</year>
    <page>341-350</page>
    <mr>MR0779872</mr>
    <score>100</score>
    <query_string>Cache/Ce/Cerami,multiplicity,Ann*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Cerami, G.; Solimini, S.; Struwe, M.</author>
    <title>Some existence results for superlinear elliptic boundary value problems involving critical exponents</title>
    <journal>J. Funct. Anal.</journal>
    <vol>69</vol>
    <year>1986</year>
    <page>289-306</page>
    <mr>MR0867663</mr>
    <score>100</score>
    <query_string>Cache/Ce/Cerami,superlinear,J*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>DiBenedetto, E.</author>
    <title>$C^{1+a}$ local regularity of weak solutions of degenerate elliptic equations</title>
    <journal>Nonlinear Anal.</journal>
    <vol>7</vol>
    <year>1983</year>
    <page>827-850</page>
    <mr>MR0709038</mr>
    <query_string>Cache/Di/DiBenedetto,regurality,Nonlinear*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>9</bibitem>
    <author>Egnell, H.</author>
    <title>Semilinear elliptic equations involving critical Sobolev exponents</title>
    <journal>Arch. Rational Mech. Anal.</journal>
    <vol>104</vol>
    <year>1988</year>
    <page>27-56</page>
    <mr>MR0956566</mr>
    <score>100</score>
    <query_string>Cache/Eg/Egnell,Semilinear,Arch*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Egnell, H.</author>
    <title>Existence and nonexistence for $m$-Laplace equations involving critical Sobolev exponents</title>
    <journal>Arch. Rational Mech. Anal.</journal>
    <vol>104</vol>
    <year>1988</year>
    <page>57-77</page>
    <mr>MR0956567</mr>
    <score>90</score>
    <query_string>Cache/Eg/Egnell,nonexistence,Arch*,1988,1989</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Egnell, H.</author>
    <title>Existence results for some quasilinear elliptic equations</title>
<journal>"Variational Methods", in Progress in Non-linear Differential Equations and Their Applications, Birkh&#228;user</journal>
    <year>1990</year>
<page>61-76</page>
    <mr>MR1205146</mr>
    <query_string>Cache/Eg/Egnell,quasilinear,*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Fortunato, D.; Jannelli, E.</author>
    <title>Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains</title>
    <journal>Proc. Roy. Soc. Edinburgh Sect A</journal>
    <vol>105A</vol>
    <year>1987</year>
    <page>205-213</page>
    <mr>MR0890056</mr>
    <score>100</score>
    <query_string>Cache/Fo/Fortunato,symmetrical,Proc*,1987,1988</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Guedda, M.; Veron, L.</author>
    <title>Quasilinear equations involving critical Sobolev exponents</title>
    <journal>Nonlinear Anal.</journal>
    <vol>13</vol>
    <year>1989</year>
    <page>879-902</page>
    <mr>MR1009077</mr>
    <score>85</score>
    <query_string>Cache/Gu/Guedda,Quasilinear,Nonlinear*,1989,1990</query_string>
  </article>

  <fearticle>
    <bibitem>14</bibitem>
    <author>Kabeya, Y.</author>
    <title>Existence theorems for quasilinear elliptic problems on $R^n$</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>35</vol>
    <year>1992</year>
    <page>603-616</page>
    <mr>MR1199478</mr>
<feart>1199478</feart>
    <score>80</score>
    <query_string>Cache/Ka/Kabeya,quasilinear,Funkcial*,1992,1993</query_string>
  </fearticle>

  <feother>
    <bibitem>15</bibitem>
    <raw_data>Kawano, N.; Yanagida, E.; Yotsutani, S., Structure theorems for positive radial solutions to $\Delta u+K(|x|)u^p=0$ in $R^n$, to appear</raw_data>
<mr>MR1255211</mr>
<feart>1255211</feart>
  </feother>

  <other>
    <bibitem>16</bibitem>
    <raw_data>Kawano, N.; Yanagida, E.; Yotsutani, S., Structure theorems for positive radial solutions to $\mathrm{div}(|Du|^{m-2}Du)+K(|x|)u^q=0$ in $R^n$, to appear</raw_data>
<mr>MR1239344</mr>
  </other>

  <article>
    <bibitem>17</bibitem>
    <author>Li, G. B.; Yan, S. S.</author>
    <title>Eigenvalue problems for quasilinear elliptic equations on $R^n$</title>
    <journal>Comm. Partial Differential Equations</journal>
    <vol>14</vol>
    <year>1989</year>
    <page>1291-1314</page>
    <mr>MR1017074</mr>
    <score>80</score>
    <query_string>Cache/Li/Li,quasilinear,Comm*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Lin, C. S.; Lin, S. S.</author>
    <title>Positive radial solutions for $\Delta u+K(r)u^{(n+2)/(n-2)}=0$ in $R^n$ and related topics</title>
    <journal>Appl. Anal.</journal>
    <vol>38</vol>
    <year>1990</year>
    <page>121-159</page>
    <mr>MR1116178</mr>
    <score>78</score>
    <query_string>Cache/Li/Lin,solutions,Appl*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Lions, P. L.</author>
    <title>The concentration-compactness principle in the calculus of variations The limit case, part. 2</title>
    <journal>Rev. Mat. Iberoamericana</journal>
    <vol>1</vol>
    <year>1985</year>
    <page>45-121</page>
    <mr>MR0850686</mr>
    <score>91</score>
    <query_string>Cache/Li/Lions,concentration,Rev*,1985,1986</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>Talenti, G.</author>
    <title>Best constant in Sobolev inequality</title>
    <journal>Ann. Mat. Pura Appl.</journal>
    <vol>110</vol>
    <year>1976</year>
    <page>353-372</page>
    <mr>MR0463908</mr>
    <score>100</score>
    <query_string>Cache/Ta/Talenti,inequality,Ann*,1976,1977</query_string>
  </article>

  <article>
    <bibitem>21</bibitem>
    <author>Tolksdolf, E.</author>
    <title>On the Dirichlet problem for quasilinear equations in domains with conical boundary points</title>
    <journal>Comm. Partial Differential Equations</journal>
    <vol>8</vol>
    <year>1983</year>
    <page>773-817</page>
    <mr>MR0700735</mr>
    <query_string>Cache/To/Tolksdolf,quasilinear,Comm*,1983,1984</query_string>
  </article>

  <article>
    <bibitem>22</bibitem>
    <author>Tolksdolf, E.</author>
    <title>Regularity for a more general class of quasilinear elliptic equations</title>
    <journal>J. Differential Equations</journal>
    <vol>51</vol>
    <year>1984</year>
    <page>126-150</page>
    <mr>MR0727034</mr>
    <query_string>Cache/To/Tolksdolf,quasilinear,J*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>23</bibitem>
    <author>Vazquez, J. L.</author>
    <title>A strong maximum principle for some quasilinear elliptic equations</title>
    <journal>Appl. Math. Optim.</journal>
    <vol>12</vol>
    <year>1984</year>
    <page>191-202</page>
    <mr>MR0768629</mr>
    <score>100</score>
    <query_string>Cache/Va/Vazquez,quasilinear,Appl*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>24</bibitem>
    <author>Zhang, D.</author>
    <title>On multiple solutions of $\Delta u+\lambda u+|u|^{4/(n-2)}u=0$</title>
    <journal>Nonlinear Anal.</journal>
    <vol>13</vol>
    <year>1989</year>
    <page>353-372</page>
    <mr>MR0987374</mr>
  </article>

</references>
</top_article>
