Geodesic
Existence of three solutions for a class of $(p_1,\ldots,p_n)$-biharmonic systems with Navier boundary conditions
Shapour Heidarkhani1 ; Yu Tian2 ; Chun-Lei Tang3
1 Department of Mathematics Faculty of Sciences Razi University 67149 Kermanshah, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran
2 School of Science Beijing University of Posts and Telecommunications Beijing 100876, P.R. China
3 School of Mathematics and Statistics Southwest University Chongqing 400715, P.R. China
Annales Polonici Mathematici, Tome 104 (2012) no. 3, pp. 261-277

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We establish the existence of at least three weak solutions for the $(p_{1},\ldots,p_{n})$-biharmonic system $$\begin{cases} {\mit\Delta}(|{\mit\Delta} u_{i}|^{p_i-2}{\mit\Delta} u_{i})=\lambda F_{u_{i}}(x,u_{1},\ldots,u_{n})\mbox{in }{\mit\Omega},\\ u_{i}={\mit\Delta} u_i=0 \mbox{on }\partial{\mit\Omega},\end{cases} $$ for $1\leq i\leq n$. The proof is based on a recent three critical points theorem.
DOI : 10.4064/ap104-3-4
Keywords: establish existence least three weak solutions ldots biharmonic system begin cases mit delta mit delta i mit delta lambda ldots mbox mit omega mit delta mbox partial mit omega end cases leq leq proof based recent three critical points theorem

Shapour Heidarkhani 1 ; Yu Tian 2 ; Chun-Lei Tang 3

1 Department of Mathematics Faculty of Sciences Razi University 67149 Kermanshah, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran
2 School of Science Beijing University of Posts and Telecommunications Beijing 100876, P.R. China
3 School of Mathematics and Statistics Southwest University Chongqing 400715, P.R. China 
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     title = {Existence of three solutions for a class of
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Shapour Heidarkhani; Yu Tian; Chun-Lei Tang. Existence of three solutions for a class of
$(p_1,\ldots,p_n)$-biharmonic systems
 with Navier boundary conditions. Annales Polonici Mathematici, Tome 104 (2012) no. 3, pp. 261-277. doi: 10.4064/ap104-3-4

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