On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function

In this paper, we study the combined effect of concave and convex nonlinearities on the number of nontrivial solutions for the $p$-biharmonic equation of the form \begin{equation}\left\{ \begin{array}{l} \Delta_{p}^{2}u=\vert u\vert^{q-2}u+\lambda f(x)\vert u\vert^{r-2}u \quad\quad \text{ in}\,\,\ \...

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Bibliographic Details
Main Authors: Chao Ji, Weihua Wang
Format: Article
Language:English
Published: University of Szeged 2012-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1250