Abstract
ABSTRACT In this article, we study the existence/multiplicity results for the variable order nonlocal Choquard problem with variable exponents where is a smooth and bounded domain, , and α are continuous functions on and is a Carathéodory function with . Under suitable assumption on and , first we study the analogous Hardy–Sobolev–Littlewood-type result for variable exponents suitable for the fractional Sobolev space with variable order and variable exponents. Then we give the existence/multiplicity results for the above equation.
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