Some results of nontrivial solutions for a nonlinear PDE in Sobolev space

In this study, we investigate the question of nonexistence of nontrivial solutions of the Robin problem \begin{equation} \left\vert\begin{array}{l} -\dfrac{\partial ^{2}u}{\partial x^{2}}-\sum\limits_{s=1}^{n}\dfrac{\partial}{\partial y_{s}}a_{s}(y,\frac{\partial u}{\partial y_{s}})+f(y,u)=0\text{in...

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Bibliographic Details
Main Authors: S. Benmehidi, B. Khodja
Format: Article
Language:English
Published: University of Szeged 2009-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=397