TY - JOUR
ID - 6539
TI - Existence results of infinitely many solutions for a class of p(x)-biharmonic problems
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Shokooh, Saeid
AU - Alizadeh Afrouzi, Ghasem
AD - Department of Mathematics, Faculty of Sciences,
Gonbad Kavous University, Gonbad Kavous, Iran
AD - Department of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, Iran
Y1 - 2017
PY - 2017
VL - 5
IS - 4
SP - 310
EP - 323
KW - Ricceri's Variational Principle
KW - infinitely many solutions
KW - Navier condition
KW - $p(x)$-biharmonic type operators
DO -
N2 - The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out.
UR - https://cmde.tabrizu.ac.ir/article_6539.html
L1 - https://cmde.tabrizu.ac.ir/article_6539_b6bddd9ead17b36e9afe3d6b4e743494.pdf
ER -