TY - JOUR AU - Moussaoui, M. PY - 2001/05/01 Y2 - 2024/03/29 TI - Nonlinear elliptic problems with resonance at the two first eigenvalue : A variational approach JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 20 IS - 1 SE - DO - 10.4067/S0716-09172001000100003 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1513 SP - 33-51 AB - <center><p align="left"><em>We study the nonlinear elliptic problems with Dirichlet boundary condition</em></p></center><p align="left"> </p><div align="left"><table width="33%" align="center"><tbody><tr><td rowspan="2" width="11%"><center><span style="font-size: large;">{</span></center></td><td width="25%"><div align="center">-<span style="font-family: Symbol;">D</span><sub><em>p</em></sub><em>u</em></div></td><td width="12%"><center>=</center></td><td colspan="2" width="52%"><div align="center"><span style="font-family: symbol;">¦</span>(<em>x</em>, <em>u</em>) <em>in</em> <strong><span style="font-family: Symbol;">W</span></strong></div></td></tr><tr><td width="25%"><div align="center"><em>u</em></div></td><td width="12%"><center>=</center></td><td colspan="2" width="52%"><div align="center">0 <em>on</em> <strong><span style="font-family: Symbol;">¶W</span></strong></div></td></tr></tbody></table><p> </p></div><p align="left"><em>Resonance conditions at the first or at the second eigenvalue will be considered.  </em></p> ER -