Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition

Published 30 Jan 2021 in math.AP | (2102.00304v1)

Abstract: We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity $f$ is a Carath\'{e}odory function satisfying some hypotheses which do not include the Ambrosetti-Rabinowitz type condition. By using Variational methods, we investigate the multiplicity of solutions.

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