Existence and uniqueness of a positive solution for a non homogeneous problem of fourth order with weights

Electronic Journal of Differential Equations

关键词: Ekeland's principle;    p-biharmonic operator;    Palais-Smale condition.;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work we study the existence of a positive solutions to the non homogeneous equation $$ Delta( |Delta u|^{p-2} Delta u) = m |u|^{q-2}u $$ with Navier boundary conditions, where $1 less than ,q less than p_2^*$ and $min L^infty(Omega)setminus {0}$, $mgeq 0$. In the case $p greater than q$ and $min mathcal{C}(overline{Omega})$, we prove the uniqueness of this solution.

【 授权许可】

Unknown