A NONLOCAL p(x)\&q(x) ELLIPTIC TRANSMISSION
PROBLEM WITH DEPENDENCE ON THE GRADIENT
E. Cabanillas L.1, Luis Z. Huaringa M.2
1 Research Institute
Faculty of Mathematical Sciences - UNMSM
Av. Venezuela S/N, Lima – PERU

2 Pontifical Catholic University
University avenue 1801, San Miguel 15088
Lima – PERU

Abstract

In this work, we consider a nonlocal p\&q elliptic transmission problem involving nonstandard growth conditions with dependence on the gradient. Under suitable conditions, we prove the existence of weak solutions by means of an abstract result of the monotone operator theory.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 1
Year: 2021

DOI: 10.12732/ijam.v34i1.4

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