Infinitely many solutions for a nonlinear Navier boundary systems involving $(p(x),q(x))$-biharmonic
2014 ◽
Vol 33
(1)
◽
pp. 155
Keyword(s):
In this article, we study the following $(p(x),q(x))$-biharmonic type system \begin{gather*} \Delta(|\Delta u|^{p(x)-2}\Delta u)=\lambda F_u(x,u,v)\quad\text{in }\Omega,\\ \Delta(|\Delta v|^{q(x)-2}\Delta v)=\lambda F_v(x,u,v)\quad\text{in }\Omega,\\ u=v=\Delta u=\Delta v=0\quad \text{on }\partial\Omega. \end{gather*} We prove the existence of infinitely many solutions of the problem byapplying a general variational principle due to B. Ricceri and the theory of the variable exponent Sobolev spaces.
2017 ◽
Vol 3
(1)
◽
pp. 70-82
Multiple Solutions for Nonlinear Navier Boundary Systems Involving(p1(x),…,pn(x))-Biharmonic Problem
2016 ◽
Vol 2016
◽
pp. 1-10
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2006 ◽
Vol 36
(0)
◽
pp. 79-94
◽
Keyword(s):
2011 ◽
Vol 56
(7-9)
◽
pp. 715-753
◽
Keyword(s):
2021 ◽
Vol 7
(1)
◽
pp. 50-65