Open AccessExistence and uniqueness of weak solution of p(x)- Laplacian in Sobolev spaces with variable exponents in complete manifolds
Author(s) -
Omar Benslimane,
Ahmed Aberqi,
Jaouad Bennouna
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2105453b
Subject(s) - mathematics , sobolev space , uniqueness , laplace operator , pure mathematics , homogeneous , variable (mathematics) , sobolev inequality , exponent , polynomial , mathematical analysis , operator (biology) , combinatorics , linguistics , philosophy , biochemistry , chemistry , repressor , transcription factor , gene
The paper deals with the existence and uniqueness of a non-trivial solution to non-homogeneous p(x)- Laplacian equations, managed by non polynomial growth operator in the framework of variable exponent Sobolev spaces on Riemannian manifolds. The mountain pass Theorem is used.