Author:
Ayadi Souad,Alzabut Jehad,Afshari Hojjat,Sahlan Monireh Nosrati
Abstract
AbstractIn this paper, we prove some existence theorems for elliptic boundary value problems within the p(x)-Laplacian on a variable Sobolev space. For this purpose, the main problem is transformed into a fixed point problem and then fixed point arguments such as Schaefer’s and Schauder’s theorems are used. Our approach involves fewer stringent assumptions on the nonlinearity function than the prior findings. An interesting example is presented to examine the validity of the theoretical findings.
Funder
Ostim Technical University
Publisher
Springer Science and Business Media LLC
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