AU - Ramzannia Jalali, Atieh
AU - Alizadeh Afrouzi, Ghasem
TI - Existence of at least one nontrivial solution for a class of problems involving both p(x)-Laplacian and p(x)-Biharmonic
PT - JOURNAL ARTICLE
TA - khu-mmr
JN - khu-mmr
VO - 8
VI - 1
IP - 1
4099 - http://mmr.khu.ac.ir/article-1-3035-en.html
4100 - http://mmr.khu.ac.ir/article-1-3035-en.pdf
SO - khu-mmr 1
ABĀ - We investigate the existence of a weak nontrivial solution for the following problem. Our analysis is generally bathed on discussions of variational based on the Mountain Pass theorem and some recent theories one the generalized Lebesgue-Sobolev space. This paper guarantees the existence of at least one weak nontrivial solution for our problem. More precisely, by applying Ambrosetti and Rabinowitz’s mountain pass theorem and under appropriate conditions, we show that there exists a positive number such that our problem has at least one nontrivial weak solution.
CP - IRAN
IN - Departement of Mathematics- Faculty of Mathematical Sciences- University of Mazandaran-Babolsar-Iran.
LG - eng
PB - khu-mmr
PG - 167
PT - S
YR - 2022